46445768100 has 108 divisors (see below), whose sum is σ = 145838252560. Its totient is φ = 12363710400.

The previous prime is 46445768099. The next prime is 46445768141. The reversal of 46445768100 is 186754464.

46445768100 is a `hidden beast` number, since 4 + 64 + 4 + 576 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×46445768100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 468711 + ... + 559089.

Almost surely, 2^46445768100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46445768100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919126280).

46445768100 is an abundant number, since it is smaller than the sum of its proper divisors (99392484460).

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

46445768100 is a wasteful number, since it uses less digits than its factorization.

46445768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90970 (or 90960 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 46445768100 in words is "forty-six billion, four hundred forty-five million, seven hundred sixty-eight thousand, one hundred".