45791320247808 has 640 divisors, whose sum is σ = 130236064358400. Its totient is φ = 14268196749312.

The previous prime is 45791320247791. The next prime is 45791320247821. The reversal of 45791320247808 is 80874202319754.

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 63 ways as a sum of consecutive naturals, for example, 149157394791 + ... + 149157395097.

It is an arithmetic number, because the mean of its divisors is an integer number (203493850560).

Almost surely, 2^{45791320247808} is an apocalyptic number.

45791320247808 is a gapful number since it is divisible by the number (48) 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 45791320247808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65118032179200).

45791320247808 is an abundant number, since it is smaller than the sum of its proper divisors (84444744110592).

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

45791320247808 is a wasteful number, since it uses less digits than its factorization.

45791320247808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 45791320247808 in words is "forty-five trillion, seven hundred ninety-one billion, three hundred twenty million, two hundred forty-seven thousand, eight hundred eight".