45668565120 has 384 divisors, whose sum is σ = 153581987520. Its totient is φ = 11538309120.

The previous prime is 45668565119. The next prime is 45668565133. The reversal of 45668565120 is 2156586654.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45668565120² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45668565120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97791127 + ... + 97791593.

Almost surely, 2^45668565120 is an apocalyptic number.

45668565120 is a gapful number since it is divisible by the number (40) 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 45668565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76790993760).

45668565120 is an abundant number, since it is smaller than the sum of its proper divisors (107913422400).

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

45668565120 is a wasteful number, since it uses less digits than its factorization.

45668565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 45668565120 in words is "forty-five billion, six hundred sixty-eight million, five hundred sixty-five thousand, one hundred twenty".