45353355242400 has 216 divisors, whose sum is σ = 160517413353024. Its totient is φ = 12049599398400.

The previous prime is 45353355242359. The next prime is 45353355242413. The reversal of 45353355242400 is 424255335354.

45353355242400 is a `hidden beast` number, since 4 + 5 + 3 + 53 + 3 + 552 + 4 + 2 + 40 + 0 = 666.

45353355242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 35 ways as a sum of consecutive naturals, for example, 9670714 + ... + 13573113.

Almost surely, 2^{45353355242400} is an apocalyptic number.

45353355242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45353355242400 is an abundant number, since it is smaller than the sum of its proper divisors (115164058110624).

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

45353355242400 is a wasteful number, since it uses less digits than its factorization.

45353355242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23244124 (or 23244108 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 45353355242400 in words is "forty-five trillion, three hundred fifty-three billion, three hundred fifty-five million, two hundred forty-two thousand, four hundred".