864396013441 has 9 divisors (see below), whose sum is σ = 903634822209. Its totient is φ = 826793124036.

The previous prime is 864396013417. The next prime is 864396013489. The reversal of 864396013441 is 144310693468.

The square root of 864396013441 is 929729.

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

It is not a de Polignac number, because 864396013441 - 2²³ = 864387624833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (864396073441) 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, 21363556 + ... + 21403978.

Almost surely, 2^864396013441 is an apocalyptic number.

864396013441 is the 929729-th square number.

864396013441 is the 464865-th centered octagonal number.

It is an amenable number.

864396013441 is a deficient number, since it is larger than the sum of its proper divisors (39238808768).

864396013441 is an frugal number, since it uses more digits than its factorization.

864396013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80892 (or 40446 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 864396013441 by its sum of digits (49), we get a square (42355404658609 = 6508103²).

The spelling of 864396013441 in words is "eight hundred sixty-four billion, three hundred ninety-six million, thirteen thousand, four hundred forty-one".