44686577664 has 195 divisors, whose sum is σ = 133856478327. Its totient is φ = 14854938624.

The previous prime is 44686577657. The next prime is 44686577687. The reversal of 44686577664 is 46677568644.

It is a happy number.

The square root of 44686577664 is 211392.

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

44686577664 is a `hidden beast` number, since 446 + 8 + 65 + 7 + 76 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 121761609 + ... + 121761975.

Almost surely, 2^44686577664 is an apocalyptic number.

44686577664 is the 211392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44686577664

44686577664 is an abundant number, since it is smaller than the sum of its proper divisors (89169900663).

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

44686577664 is an frugal number, since it uses more digits than its factorization.

44686577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 372 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 44686577664 in words is "forty-four billion, six hundred eighty-six million, five hundred seventy-seven thousand, six hundred sixty-four".