2044877120064 has 105 divisors (see below), whose sum is σ = 6061961605161. Its totient is φ = 681591386880.

The previous prime is 2044877120051. The next prime is 2044877120087. The reversal of 2044877120064 is 4600217784402.

The square root of 2044877120064 is 1429992.

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

2044877120064 is a `hidden beast` number, since 20 + 4 + 487 + 71 + 20 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24840281664 + 2020036838400 = 157608^2 + 1421280^2 .

It is a super-2 number, since 2×2044877120064² (a number of 25 digits) contains 22 as substring.

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, 102949494 + ... + 102969354.

Almost surely, 2^{2044877120064} is an apocalyptic number.

2044877120064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2044877120064 is the 1429992-nd square number.

It is an amenable number.

2044877120064 is an abundant number, since it is smaller than the sum of its proper divisors (4017084485097).

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

2044877120064 is an frugal number, since it uses more digits than its factorization.

2044877120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39746 (or 19866 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 2044877120064 in words is "two trillion, forty-four billion, eight hundred seventy-seven million, one hundred twenty thousand, sixty-four".