45375224049792 has 1600 divisors, whose sum is σ = 175161747720960. Its totient is φ = 11578496348160.

The previous prime is 45375224049737. The next prime is 45375224049811. The reversal of 45375224049792 is 29794042257354.

It is a happy number.

45375224049792 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 52 + 2 + 4 + 0 + 497 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 10032105643 + ... + 10032110165.

Almost surely, 2^{45375224049792} is an apocalyptic number.

45375224049792 is a gapful number since it is divisible by the number (42) 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 45375224049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87580873860480).

45375224049792 is an abundant number, since it is smaller than the sum of its proper divisors (129786523671168).

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

45375224049792 is an equidigital number, since it uses as much as digits as its factorization.

45375224049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 45375224049792 in words is "forty-five trillion, three hundred seventy-five billion, two hundred twenty-four million, forty-nine thousand, seven hundred ninety-two".