44091777946896 has 105 divisors (see below), whose sum is σ = 128085220451559. Its totient is φ = 14697020269728.

The previous prime is 44091777946861. The next prime is 44091777946907. The reversal of 44091777946896 is 69864977719044.

The square root of 44091777946896 is 6640164.

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

44091777946896 is a `hidden beast` number, since 4 + 409 + 17 + 7 + 79 + 46 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 717106971 + ... + 717168453.

Almost surely, 2^{44091777946896} is an apocalyptic number.

44091777946896 is the 6640164-th square number.

It is an amenable number.

44091777946896 is an abundant number, since it is smaller than the sum of its proper divisors (83993442504663).

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

44091777946896 is an frugal number, since it uses more digits than its factorization.

44091777946896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122992 (or 61488 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 81.

44091777946896 divided by its sum of digits (81) gives a square (544342937616 = 737796²).

The spelling of 44091777946896 in words is "forty-four trillion, ninety-one billion, seven hundred seventy-seven million, nine hundred forty-six thousand, eight hundred ninety-six".