45765102243072 has 72 divisors (see below), whose sum is σ = 123517432785600. Its totient is φ = 15040174428160.

The previous prime is 45765102243053. The next prime is 45765102243121. The reversal of 45765102243072 is 27034220156754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419593197 + ... + 419702252.

It is an arithmetic number, because the mean of its divisors is an integer number (1715519899800).

Almost surely, 2^{45765102243072} is an apocalyptic number.

It is an amenable number.

45765102243072 is an abundant number, since it is smaller than the sum of its proper divisors (77752330542528).

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

45765102243072 is an equidigital number, since it uses as much as digits as its factorization.

45765102243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839295539 (or 839295525 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 45765102243072 in words is "forty-five trillion, seven hundred sixty-five billion, one hundred two million, two hundred forty-three thousand, seventy-two".