17138423013264 has 360 divisors, whose sum is σ = 61294629839040. Its totient is φ = 4366089547776.

The previous prime is 17138423013227. The next prime is 17138423013307. The reversal of 17138423013264 is 46231032483171.

It is a happy number.

17138423013264 is a `hidden beast` number, since 1 + 7 + 1 + 3 + 84 + 2 + 301 + 3 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3986722 + ... + 7083134.

It is an arithmetic number, because the mean of its divisors is an integer number (170262860664).

Almost surely, 2^{17138423013264} is an apocalyptic number.

17138423013264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17138423013264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30647314919520).

17138423013264 is an abundant number, since it is smaller than the sum of its proper divisors (44156206825776).

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

17138423013264 is a wasteful number, since it uses less digits than its factorization.

17138423013264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096487 (or 3096461 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 17138423013264 in words is "seventeen trillion, one hundred thirty-eight billion, four hundred twenty-three million, thirteen thousand, two hundred sixty-four".