44777945664 has 105 divisors (see below), whose sum is σ = 132781037587. Its totient is φ = 14920903296.

The previous prime is 44777945627. The next prime is 44777945671. The reversal of 44777945664 is 46654977744.

The square root of 44777945664 is 211608.

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

44777945664 is a `hidden beast` number, since 44 + 77 + 79 + 456 + 6 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15234307 + ... + 15237245.

Almost surely, 2^44777945664 is an apocalyptic number.

44777945664 is the 211608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44777945664

44777945664 is an abundant number, since it is smaller than the sum of its proper divisors (88003091923).

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

44777945664 is an frugal number, since it uses more digits than its factorization.

44777945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 2944 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 63.

The spelling of 44777945664 in words is "forty-four billion, seven hundred seventy-seven million, nine hundred forty-five thousand, six hundred sixty-four".