57444515174656 has 81 divisors (see below), whose sum is σ = 115113958734411. Its totient is φ = 28610145824256.

The previous prime is 57444515174653. The next prime is 57444515174689. The reversal of 57444515174656 is 65647151544475.

The square root of 57444515174656 is 7579216.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57444515174653) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37229108221 + ... + 37229109763.

Almost surely, 2^{57444515174656} is an apocalyptic number.

57444515174656 is the 7579216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57444515174656

57444515174656 is an abundant number, since it is smaller than the sum of its proper divisors (57669443559755).

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

57444515174656 is an frugal number, since it uses more digits than its factorization.

57444515174656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 1852 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 64.

57444515174656 divided by its sum of digits (64) gives a square (897570549604 = 947402²).

The spelling of 57444515174656 in words is "fifty-seven trillion, four hundred forty-four billion, five hundred fifteen million, one hundred seventy-four thousand, six hundred fifty-six".