45555022400 has 84 divisors (see below), whose sum is σ = 118687652388. Its totient is φ = 17150115840.

The previous prime is 45555022391. The next prime is 45555022433. The reversal of 45555022400 is 422055554.

It can be written as a sum of positive squares in 6 ways, for example, as 2917728256 + 42637294144 = 54016^2 + 206488^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810209 + ... + 864608.

Almost surely, 2^45555022400 is an apocalyptic number.

45555022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45555022400 is an abundant number, since it is smaller than the sum of its proper divisors (73132629988).

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

45555022400 is a wasteful number, since it uses less digits than its factorization.

45555022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674856 (or 1674841 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

Adding to 45555022400 its reverse (422055554), we get a palindrome (45977077954).

The spelling of 45555022400 in words is "forty-five billion, five hundred fifty-five million, twenty-two thousand, four hundred".