46436183648100 has 81 divisors (see below), whose sum is σ = 145552278641497. Its totient is φ = 12382927790880.

The previous prime is 46436183648059. The next prime is 46436183648111. The reversal of 46436183648100 is 184638163464.

The square root of 46436183648100 is 6814410.

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

46436183648100 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 618 + 3 + 6 + 4 + 8 + 10 + 0 = 666.

46436183648100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16717026113316 + 29719157534784 = 4088646^2 + 5451528^2 .

It is a super-2 number, since 2×46436183648100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204318727 + ... + 204545873.

Almost surely, 2^{46436183648100} is an apocalyptic number.

46436183648100 is the 6814410-th square number.

It is an amenable number.

46436183648100 is an abundant number, since it is smaller than the sum of its proper divisors (99116094993397).

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

46436183648100 is an frugal number, since it uses more digits than its factorization.

46436183648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454314 (or 227157 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 46436183648100 in words is "forty-six trillion, four hundred thirty-six billion, one hundred eighty-three million, six hundred forty-eight thousand, one hundred".