715849674241 has 27 divisors (see below), whose sum is σ = 797120236521. Its totient is φ = 642559773024.

The previous prime is 715849674227. The next prime is 715849674247. The reversal of 715849674241 is 142476948517.

The square root of 715849674241 is 846079.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2973411841 + 712876262400 = 54529^2 + 844320^2 .

It is a de Polignac number, because none of the positive numbers 2^k-715849674241 is a prime.

It is a super-2 number, since 2×715849674241² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (715849674247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 406963120 + ... + 406964878.

It is an arithmetic number, because the mean of its divisors is an integer number (29522971723).

Almost surely, 2^715849674241 is an apocalyptic number.

715849674241 is the 846079-th square number.

715849674241 is the 423040-th centered octagonal number.

It is an amenable number.

715849674241 is a deficient number, since it is larger than the sum of its proper divisors (81270562280).

715849674241 is an frugal number, since it uses more digits than its factorization.

715849674241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 1809 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 58.

The spelling of 715849674241 in words is "seven hundred fifteen billion, eight hundred forty-nine million, six hundred seventy-four thousand, two hundred forty-one".