44116164 has 81 divisors (see below), whose sum is σ = 118692301. Its totient is φ = 14346720.

The previous prime is 44116147. The next prime is 44116181. The reversal of 44116164 is 46161144.

The square root of 44116164 is 6642.

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

44116164 is a `hidden beast` number, since 4 + 41 + 1 + 616 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (44116147) and next prime (44116181).

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 41990400 = 1458^2 + 6480^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1075984 + ... + 1076024.

Almost surely, 2^44116164 is an apocalyptic number.

44116164 is the 6642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44116164

44116164 is an abundant number, since it is smaller than the sum of its proper divisors (74576137).

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

44116164 is an frugal number, since it uses more digits than its factorization.

44116164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The cubic root of 44116164 is about 353.3452418754.

Multiplying 44116164 by its product of digits (2304), we get a square (101643641856 = 318816²).

The spelling of 44116164 in words is "forty-four million, one hundred sixteen thousand, one hundred sixty-four".