45696968100 has 720 divisors, whose sum is σ = 179633169408. Its totient is φ = 9822954240.

The previous prime is 45696968081. The next prime is 45696968117. The reversal of 45696968100 is 186969654.

It is a happy number.

45696968100 is a `hidden beast` number, since 4 + 569 + 6 + 9 + 68 + 10 + 0 = 666.

It is a super-2 number, since 2×45696968100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 87374439 + ... + 87374961.

Almost surely, 2^45696968100 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 45696968100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89816584704).

45696968100 is an abundant number, since it is smaller than the sum of its proper divisors (133936201308).

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

45696968100 is a wasteful number, since it uses less digits than its factorization.

45696968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 45696968100 in words is "forty-five billion, six hundred ninety-six million, nine hundred sixty-eight thousand, one hundred".