8272457411344 has 135 divisors (see below), whose sum is σ = 18805230214407. Its totient is φ = 3515069888064.

The previous prime is 8272457411321. The next prime is 8272457411377. The reversal of 8272457411344 is 4431147542728.

The square root of 8272457411344 is 2876188.

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

It is a junction number, because it is equal to n+sod(n) for n = 8272457411291 and 8272457411300.

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, 11194123327 + ... + 11194124065.

Almost surely, 2^{8272457411344} is an apocalyptic number.

8272457411344 is the 2876188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272457411344

8272457411344 is an abundant number, since it is smaller than the sum of its proper divisors (10532772803063).

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

8272457411344 is an frugal number, since it uses more digits than its factorization.

8272457411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 887 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 52.

The spelling of 8272457411344 in words is "eight trillion, two hundred seventy-two billion, four hundred fifty-seven million, four hundred eleven thousand, three hundred forty-four".