45577693872 has 320 divisors, whose sum is σ = 145276416000. Its totient is φ = 13607903232.

The previous prime is 45577693841. The next prime is 45577693873. The reversal of 45577693872 is 27839677554.

45577693872 is a `hidden beast` number, since 4 + 557 + 7 + 6 + 9 + 3 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (45577693873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40369404 + ... + 40370532.

It is an arithmetic number, because the mean of its divisors is an integer number (453988800).

Almost surely, 2^45577693872 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 45577693872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72638208000).

45577693872 is an abundant number, since it is smaller than the sum of its proper divisors (99698722128).

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

45577693872 is a wasteful number, since it uses less digits than its factorization.

45577693872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1413 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 45577693872 in words is "forty-five billion, five hundred seventy-seven million, six hundred ninety-three thousand, eight hundred seventy-two".