45513432634400 has 72 divisors (see below), whose sum is σ = 117645530243220. Its totient is φ = 17134468751360.

The previous prime is 45513432634387. The next prime is 45513432634403. The reversal of 45513432634400 is 443623431554.

It can be written as a sum of positive squares in 6 ways, for example, as 28921464225424 + 16591968408976 = 5377868^2 + 4073324^2 .

It is not an unprimeable number, because it can be changed into a prime (45513432634403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1673274365 + ... + 1673301564.

Almost surely, 2^{45513432634400} is an apocalyptic number.

45513432634400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45513432634400 is an abundant number, since it is smaller than the sum of its proper divisors (72132097608820).

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

45513432634400 is a wasteful number, since it uses less digits than its factorization.

45513432634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346575966 (or 3346575953 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 45513432634400 in words is "forty-five trillion, five hundred thirteen billion, four hundred thirty-two million, six hundred thirty-four thousand, four hundred".