45217105968 has 80 divisors (see below), whose sum is σ = 117566760960. Its totient is φ = 14975127552.

The previous prime is 45217105957. The next prime is 45217106023. The reversal of 45217105968 is 86950171254.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307280 + ... + 5315792.

It is an arithmetic number, because the mean of its divisors is an integer number (1469584512).

Almost surely, 2^45217105968 is an apocalyptic number.

45217105968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45217105968 is an abundant number, since it is smaller than the sum of its proper divisors (72349654992).

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

45217105968 is a wasteful number, since it uses less digits than its factorization.

45217105968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 45217105968 in words is "forty-five billion, two hundred seventeen million, one hundred five thousand, nine hundred sixty-eight".