45552360400 has 30 divisors (see below), whose sum is σ = 109439546822. Its totient is φ = 18220944000.

The previous prime is 45552360313. The next prime is 45552360431. The reversal of 45552360400 is 406325554.

45552360400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 482768784 + 45069591616 = 21972^2 + 212296^2 .

It is a super-2 number, since 2×45552360400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56940051 + ... + 56940850.

Almost surely, 2^45552360400 is an apocalyptic number.

45552360400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45552360400 is an abundant number, since it is smaller than the sum of its proper divisors (63887186422).

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

45552360400 is a wasteful number, since it uses less digits than its factorization.

45552360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113880919 (or 113880908 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 45552360400 its reverse (406325554), we get a palindrome (45958685954).

The spelling of 45552360400 in words is "forty-five billion, five hundred fifty-two million, three hundred sixty thousand, four hundred".