864245403904 has 81 divisors (see below), whose sum is σ = 1745997731877. Its totient is φ = 426953859072.

The previous prime is 864245403871. The next prime is 864245403949. The reversal of 864245403904 is 409304542468.

The square root of 864245403904 is 929648.

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

It can be written as a sum of positive squares in only one way, i.e., 388079161600 + 476166242304 = 622960^2 + 690048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1442813397 + ... + 1442813995.

Almost surely, 2^864245403904 is an apocalyptic number.

864245403904 is the 929648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864245403904

864245403904 is an abundant number, since it is smaller than the sum of its proper divisors (881752327973).

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

864245403904 is an frugal number, since it uses more digits than its factorization.

864245403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 864245403904 by its sum of digits (49), we get a square (42348024791296 = 6507536²).

The spelling of 864245403904 in words is "eight hundred sixty-four billion, two hundred forty-five million, four hundred three thousand, nine hundred four".