915406919361 has 81 divisors (see below), whose sum is σ = 1476039168513. Its totient is φ = 546276828240.

The previous prime is 915406919311. The next prime is 915406919411. The reversal of 915406919361 is 163919604519.

It is a happy number.

The square root of 915406919361 is 956769.

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

915406919361 is a `hidden beast` number, since 9 + 1 + 5 + 406 + 91 + 93 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (915406919311) and next prime (915406919411).

It is not a de Polignac number, because 915406919361 - 2⁹ = 915406918849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 915406919298 and 915406919307.

It is not an unprimeable number, because it can be changed into a prime (915406919311) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2494296600 + ... + 2494296966.

Almost surely, 2^915406919361 is an apocalyptic number.

915406919361 is the 956769-th square number.

915406919361 is the 478385-th centered octagonal number.

It is an amenable number.

915406919361 is a deficient number, since it is larger than the sum of its proper divisors (560632249152).

915406919361 is an equidigital number, since it uses as much as digits as its factorization.

915406919361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 915406919361 in words is "nine hundred fifteen billion, four hundred six million, nine hundred nineteen thousand, three hundred sixty-one".