45776457936 has 400 divisors, whose sum is σ = 147945441600. Its totient is φ = 13548902400.

The previous prime is 45776457911. The next prime is 45776457941. The reversal of 45776457936 is 63975467754.

It is a happy number.

45776457936 is a `hidden beast` number, since 4 + 57 + 7 + 6 + 4 + 579 + 3 + 6 = 666.

Its product of digits (133358400) is a multiple of the sum of its prime factors (560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138297291 + ... + 138297621.

It is an arithmetic number, because the mean of its divisors is an integer number (369863604).

Almost surely, 2^45776457936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45776457936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73972720800).

45776457936 is an abundant number, since it is smaller than the sum of its proper divisors (102168983664).

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

45776457936 is a wasteful number, since it uses less digits than its factorization.

45776457936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 45776457936 in words is "forty-five billion, seven hundred seventy-six million, four hundred fifty-seven thousand, nine hundred thirty-six".