915864312064 has 243 divisors, whose sum is σ = 2045821399713. Its totient is φ = 409017563136.

The previous prime is 915864312061. The next prime is 915864312067. The reversal of 915864312064 is 460213468519.

The square root of 915864312064 is 957008.

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

It is an interprime number because it is at equal distance from previous prime (915864312061) and next prime (915864312067).

It can be written as a sum of positive squares in only one way, i.e., 135482886400 + 780381425664 = 368080^2 + 883392^2 .

It is a super-2 number, since 2×915864312064² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 915864311999 and 915864312017.

It is not an unprimeable number, because it can be changed into a prime (915864312061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8559479499 + ... + 8559479605.

Almost surely, 2^915864312064 is an apocalyptic number.

915864312064 is the 957008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 915864312064

915864312064 is an abundant number, since it is smaller than the sum of its proper divisors (1129957087649).

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

915864312064 is an equidigital number, since it uses as much as digits as its factorization.

915864312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 915864312064 by its sum of digits (49), we get a square (44877351291136 = 6699056²).

The spelling of 915864312064 in words is "nine hundred fifteen billion, eight hundred sixty-four million, three hundred twelve thousand, sixty-four".