45417576996 has 81 divisors (see below), whose sum is σ = 126230308113. Its totient is φ = 13758639840.

The previous prime is 45417576979. The next prime is 45417577001. The reversal of 45417576996 is 69967571454.

The square root of 45417576996 is 213114.

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

45417576996 is a `hidden beast` number, since 4 + 54 + 1 + 7 + 576 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13662336996 + 31755240000 = 116886^2 + 178200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14063910 + ... + 14067138.

Almost surely, 2^45417576996 is an apocalyptic number.

45417576996 is the 213114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45417576996

45417576996 is an abundant number, since it is smaller than the sum of its proper divisors (80812731117).

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

45417576996 is a wasteful number, since it uses less digits than its factorization.

45417576996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 3245 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 45417576996 in words is "forty-five billion, four hundred seventeen million, five hundred seventy-six thousand, nine hundred ninety-six".