44874819083689 has 81 divisors (see below), whose sum is σ = 56879531262831. Its totient is φ = 35292846812160.

The previous prime is 44874819083687. The next prime is 44874819083797. The reversal of 44874819083689 is 98638091847844.

The square root of 44874819083689 is 6698867.

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

44874819083689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 6070640593689 + 38804178490000 = 2463867^2 + 6229300^2 .

It is not a de Polignac number, because 44874819083689 - 2¹ = 44874819083687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44874819083683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32683771407 + ... + 32683772779.

Almost surely, 2^{44874819083689} is an apocalyptic number.

44874819083689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

44874819083689 is the 6698867-th square number.

44874819083689 is the 3349434-th centered octagonal number.

It is an amenable number.

44874819083689 is a deficient number, since it is larger than the sum of its proper divisors (12004712179142).

44874819083689 is an frugal number, since it uses more digits than its factorization.

44874819083689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 2675441664, while the sum is 79.

The spelling of 44874819083689 in words is "forty-four trillion, eight hundred seventy-four billion, eight hundred nineteen million, eighty-three thousand, six hundred eighty-nine".