45924264960 has 352 divisors, whose sum is σ = 170198257152. Its totient is φ = 10351411200.

The previous prime is 45924264959. The next prime is 45924264961. The reversal of 45924264960 is 6946242954.

It is an interprime number because it is at equal distance from previous prime (45924264959) and next prime (45924264961).

It is a super-2 number, since 2×45924264960² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45924264961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7846035 + ... + 7851885.

It is an arithmetic number, because the mean of its divisors is an integer number (483517776).

Almost surely, 2^45924264960 is an apocalyptic number.

45924264960 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 45924264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85099128576).

45924264960 is an abundant number, since it is smaller than the sum of its proper divisors (124273992192).

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

45924264960 is a wasteful number, since it uses less digits than its factorization.

45924264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 45924264960 in words is "forty-five billion, nine hundred twenty-four million, two hundred sixty-four thousand, nine hundred sixty".