17130621456 has 135 divisors (see below), whose sum is σ = 51975418989. Its totient is φ = 5264678016.

The previous prime is 17130621419. The next prime is 17130621481. The reversal of 17130621456 is 65412603171.

The square root of 17130621456 is 130884.

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

17130621456 is a `hidden beast` number, since 17 + 13 + 0 + 621 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2534115600 + 14596505856 = 50340^2 + 120816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 17130621456.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20417485 + ... + 20418323.

Almost surely, 2^17130621456 is an apocalyptic number.

17130621456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17130621456 is the 130884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17130621456

17130621456 is an abundant number, since it is smaller than the sum of its proper divisors (34844797533).

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

17130621456 is an equidigital number, since it uses as much as digits as its factorization.

17130621456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 17130621456 by its sum of digits (36), we get a square (616702372416 = 785304²).

17130621456 divided by its sum of digits (36) gives a square (475850596 = 21814²).

The spelling of 17130621456 in words is "seventeen billion, one hundred thirty million, six hundred twenty-one thousand, four hundred fifty-six".