45398452100 has 36 divisors (see below), whose sum is σ = 98691628644. Its totient is φ = 18126756480.

The previous prime is 45398452097. The next prime is 45398452139. The reversal of 45398452100 is 125489354.

45398452100 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 6 ways, for example, as 406103104 + 44992348996 = 20152^2 + 212114^2 .

It is a super-2 number, since 2×45398452100² (a number of 22 digits) contains 22 as substring.

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, 351827 + ... + 463226.

It is an arithmetic number, because the mean of its divisors is an integer number (2741434129).

Almost surely, 2^45398452100 is an apocalyptic number.

It is an amenable number.

45398452100 is an abundant number, since it is smaller than the sum of its proper divisors (53293176544).

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

45398452100 is a wasteful number, since it uses less digits than its factorization.

45398452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815624 (or 815617 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 45398452100 in words is "forty-five billion, three hundred ninety-eight million, four hundred fifty-two thousand, one hundred".