45635241974400 has 2304 divisors, whose sum is σ = 191147605056000. Its totient is φ = 10610541527040.

The previous prime is 45635241974243. The next prime is 45635241974431. The reversal of 45635241974400 is 447914253654.

45635241974400 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 5 + 2 + 4 + 197 + 440 + 0 = 666.

It is a super-2 number, since 2×45635241974400² (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 287 ways as a sum of consecutive naturals, for example, 19901979654 + ... + 19901981946.

It is an arithmetic number, because the mean of its divisors is an integer number (82963370250).

Almost surely, 2^{45635241974400} is an apocalyptic number.

45635241974400 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 45635241974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95573802528000).

45635241974400 is an abundant number, since it is smaller than the sum of its proper divisors (145512363081600).

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

45635241974400 is a wasteful number, since it uses less digits than its factorization.

45635241974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45635241974400 in words is "forty-five trillion, six hundred thirty-five billion, two hundred forty-one million, nine hundred seventy-four thousand, four hundred".