46306736100 has 189 divisors, whose sum is σ = 150848776267. Its totient is φ = 12332969280.

The previous prime is 46306736071. The next prime is 46306736107. The reversal of 46306736100 is 163760364.

It is a happy number.

The square root of 46306736100 is 215190.

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

46306736100 is a `hidden beast` number, since 4 + 6 + 30 + 6 + 7 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1131784164 + 45174951936 = 33642^2 + 212544^2 .

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 (46306736107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 58100902 + ... + 58101698.

Almost surely, 2^46306736100 is an apocalyptic number.

46306736100 is the 215190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46306736100

46306736100 is an abundant number, since it is smaller than the sum of its proper divisors (104542040167).

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

46306736100 is an frugal number, since it uses more digits than its factorization.

46306736100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 46306736100 by its sum of digits (36), we get a square (1667042499600 = 1291140²).

46306736100 divided by its sum of digits (36) gives a square (1286298225 = 35865²).

The spelling of 46306736100 in words is "forty-six billion, three hundred six million, seven hundred thirty-six thousand, one hundred".