715390186874841 has 9 divisors (see below), whose sum is σ = 1033341496944159. Its totient is φ = 476926737756336.

The previous prime is 715390186874813. The next prime is 715390186874851. The reversal of 715390186874841 is 148478681093517.

The square root of 715390186874841 is 26746779.

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

715390186874841 is a `hidden beast` number, since 7 + 1 + 5 + 390 + 1 + 86 + 87 + 4 + 84 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 363216321315225 + 352173865559616 = 19058235^2 + 18766296^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 715390186874841 - 2²⁹ = 715389650003929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 715390186874841.

It is not an unprimeable number, because it can be changed into a prime (715390186874851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75782541 + ... + 84698133.

Almost surely, 2^{715390186874841} is an apocalyptic number.

715390186874841 is the 26746779-th square number.

715390186874841 is the 13373390-th centered octagonal number.

It is an amenable number.

715390186874841 is a deficient number, since it is larger than the sum of its proper divisors (317951310069318).

715390186874841 is an frugal number, since it uses more digits than its factorization.

715390186874841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17831192 (or 8915596 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 715390186874841 in words is "seven hundred fifteen trillion, three hundred ninety billion, one hundred eighty-six million, eight hundred seventy-four thousand, eight hundred forty-one".