45629062365600 has 3888 divisors, whose sum is σ = 206131154261760. Its totient is φ = 9819706982400.

The previous prime is 45629062365599. The next prime is 45629062365613. The reversal of 45629062365600 is 656326092654.

45629062365600 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 9 + 0 + 6 + 23 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×45629062365600² (a number of 28 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 647 ways as a sum of consecutive naturals, for example, 470402704752 + ... + 470402704848.

Almost surely, 2^{45629062365600} is an apocalyptic number.

45629062365600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45629062365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103065577130880).

45629062365600 is an abundant number, since it is smaller than the sum of its proper divisors (160502091896160).

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

45629062365600 is an equidigital number, since it uses as much as digits as its factorization.

45629062365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 45629062365600 in words is "forty-five trillion, six hundred twenty-nine billion, sixty-two million, three hundred sixty-five thousand, six hundred".