815965342864 has 45 divisors (see below), whose sum is σ = 1839101344761. Its totient is φ = 349688592960.

The previous prime is 815965342837. The next prime is 815965342873. The reversal of 815965342864 is 468243569518.

The square root of 815965342864 is 903308.

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., 75126424464 + 740838918400 = 274092^2 + 860720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25276494 + ... + 25308754.

Almost surely, 2^815965342864 is an apocalyptic number.

815965342864 is the 903308-th square number.

It is an amenable number.

815965342864 is an abundant number, since it is smaller than the sum of its proper divisors (1023136001897).

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

815965342864 is an frugal number, since it uses more digits than its factorization.

815965342864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64544 (or 32270 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 61.

The spelling of 815965342864 in words is "eight hundred fifteen billion, nine hundred sixty-five million, three hundred forty-two thousand, eight hundred sixty-four".