45413856576 has 560 divisors, whose sum is σ = 157731805440. Its totient is φ = 12766740480.

The previous prime is 45413856547. The next prime is 45413856589. The reversal of 45413856576 is 67565831454.

It is a happy number.

45413856576 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 3 + 8 + 565 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 76582936 + ... + 76583528.

Almost surely, 2^45413856576 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 45413856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78865902720).

45413856576 is an abundant number, since it is smaller than the sum of its proper divisors (112317948864).

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

45413856576 is a wasteful number, since it uses less digits than its factorization.

45413856576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 705 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 45413856576 in words is "forty-five billion, four hundred thirteen million, eight hundred fifty-six thousand, five hundred seventy-six".