45135056064768 has 36 divisors (see below), whose sum is σ = 120125071091088. Its totient is φ = 15045018688000.

The previous prime is 45135056064731. The next prime is 45135056064821. The reversal of 45135056064768 is 86746065053154.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29384801358 + ... + 29384802893.

It is an arithmetic number, because the mean of its divisors is an integer number (3336807530308).

Almost surely, 2^{45135056064768} is an apocalyptic number.

45135056064768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45135056064768 is an abundant number, since it is smaller than the sum of its proper divisors (74990015026320).

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

45135056064768 is an equidigital number, since it uses as much as digits as its factorization.

45135056064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58769604270 (or 58769604256 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 60.

The spelling of 45135056064768 in words is "forty-five trillion, one hundred thirty-five billion, fifty-six million, sixty-four thousand, seven hundred sixty-eight".