46500609600 has 315 divisors, whose sum is σ = 171210370177. Its totient is φ = 12379461120.

The previous prime is 46500609563. The next prime is 46500609601. The reversal of 46500609600 is 690600564.

It is a happy number.

The square root of 46500609600 is 215640.

It is a perfect power (a square), and thus also a powerful number.

46500609600 is a `hidden beast` number, since 4 + 6 + 500 + 60 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16740219456 + 29760390144 = 129384^2 + 172512^2 .

It is a super-2 number, since 2×46500609600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46500609601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 77630101 + ... + 77630699.

Almost surely, 2^46500609600 is an apocalyptic number.

46500609600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46500609600 is the 215640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46500609600

46500609600 is an abundant number, since it is smaller than the sum of its proper divisors (124709760577).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46500609600 is an frugal number, since it uses more digits than its factorization.

46500609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 46500609600 by its sum of digits (36), we get a square (1674021945600 = 1293840²).

46500609600 divided by its sum of digits (36) gives a square (1291683600 = 35940²).

It can be divided in two parts, 46500 and 609600, that added together give a square (656100 = 810²).

The spelling of 46500609600 in words is "forty-six billion, five hundred million, six hundred nine thousand, six hundred".