45369027328800 has 288 divisors, whose sum is σ = 176110730191872. Its totient is φ = 9919190983680.

The previous prime is 45369027328747. The next prime is 45369027328853. The reversal of 45369027328800 is 882372096354.

It is an interprime number because it is at equal distance from previous prime (45369027328747) and next prime (45369027328853).

It is a super-2 number, since 2×45369027328800² (a number of 28 digits) contains 22 as substring.

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, 58320934 + ... + 59093733.

It is an arithmetic number, because the mean of its divisors is an integer number (611495590944).

Almost surely, 2^{45369027328800} is an apocalyptic number.

45369027328800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45369027328800 is an abundant number, since it is smaller than the sum of its proper divisors (130741702863072).

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

45369027328800 is a wasteful number, since it uses less digits than its factorization.

45369027328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117414720 (or 117414707 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 45369027328800 in words is "forty-five trillion, three hundred sixty-nine billion, twenty-seven million, three hundred twenty-eight thousand, eight hundred".