44125489860804 has 567 divisors, whose sum is σ = 130322443990557. Its totient is φ = 13056895051200.

The previous prime is 44125489860691. The next prime is 44125489860811. The reversal of 44125489860804 is 40806898452144.

The square root of 44125489860804 is 6642702.

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

44125489860804 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 548 + 9 + 8 + 6 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31809938400900 + 12315551459904 = 5640030^2 + 3509352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 209125544259 + ... + 209125544469.

Almost surely, 2^{44125489860804} is an apocalyptic number.

44125489860804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44125489860804 is the 6642702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44125489860804

44125489860804 is an abundant number, since it is smaller than the sum of its proper divisors (86196954129753).

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

44125489860804 is an equidigital number, since it uses as much as digits as its factorization.

44125489860804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 44125489860804 in words is "forty-four trillion, one hundred twenty-five billion, four hundred eighty-nine million, eight hundred sixty thousand, eight hundred four".