46186308100 has 27 divisors (see below), whose sum is σ = 100228952341. Its totient is φ = 18473663600.

The previous prime is 46186308097. The next prime is 46186308107. The reversal of 46186308100 is 180368164.

The square root of 46186308100 is 214910.

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

It can be written as a sum of positive squares in only one way, i.e., 16627070916 + 29559237184 = 128946^2 + 171928^2 .

It is a super-2 number, since 2×46186308100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46186308100.

It is not an unprimeable number, because it can be changed into a prime (46186308107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2138355 + ... + 2159845.

Almost surely, 2^46186308100 is an apocalyptic number.

46186308100 is the 214910-th square number.

It is an amenable number.

46186308100 is an abundant number, since it is smaller than the sum of its proper divisors (54042644241).

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

46186308100 is an frugal number, since it uses more digits than its factorization.

46186308100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42996 (or 21498 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 46186308100 in words is "forty-six billion, one hundred eighty-six million, three hundred eight thousand, one hundred".