45366384960 has 896 divisors, whose sum is σ = 190610703360. Its totient is φ = 10043523072.

The previous prime is 45366384919. The next prime is 45366384971. The reversal of 45366384960 is 6948366354.

45366384960 is a `hidden beast` number, since 4 + 536 + 6 + 3 + 8 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45366384897 and 45366384906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43916604 + ... + 43917636.

It is an arithmetic number, because the mean of its divisors is an integer number (212735160).

Almost surely, 2^45366384960 is an apocalyptic number.

45366384960 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 45366384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95305351680).

45366384960 is an abundant number, since it is smaller than the sum of its proper divisors (145244318400).

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

45366384960 is a wasteful number, since it uses less digits than its factorization.

45366384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 45366384960 in words is "forty-five billion, three hundred sixty-six million, three hundred eighty-four thousand, nine hundred sixty".