45689062500 has 405 divisors, whose sum is σ = 157571696667. Its totient is φ = 11542500000.

The previous prime is 45689062427. The next prime is 45689062513. The reversal of 45689062500 is 526098654.

The square root of 45689062500 is 213750.

It is a perfect power (a square), and thus also a powerful number.

45689062500 is a `hidden beast` number, since 4 + 5 + 6 + 89 + 0 + 62 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32484294756 + 13204767744 = 180234^2 + 114912^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2404687491 + ... + 2404687509.

Almost surely, 2^45689062500 is an apocalyptic number.

45689062500 is the 213750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45689062500

45689062500 is an abundant number, since it is smaller than the sum of its proper divisors (111882634167).

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

45689062500 is an frugal number, since it uses more digits than its factorization.

45689062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45689062500 in words is "forty-five billion, six hundred eighty-nine million, sixty-two thousand, five hundred".