718257945001 has 9 divisors (see below), whose sum is σ = 763009039141. Its totient is φ = 675993917632.

The previous prime is 718257944953. The next prime is 718257945007. The reversal of 718257945001 is 100549752817.

The square root of 718257945001 is 847501.

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 4063935001 + 714194010000 = 63749^2 + 845100^2 .

It is not a de Polignac number, because 718257945001 - 2³⁹ = 168502131113 is a prime.

It is a super-4 number, since 4×718257945001⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (718257945007) 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, 14382591 + ... + 14432443.

Almost surely, 2^718257945001 is an apocalyptic number.

718257945001 is the 847501-st square number.

718257945001 is the 423751-st centered octagonal number.

It is an amenable number.

718257945001 is a deficient number, since it is larger than the sum of its proper divisors (44751094140).

718257945001 is an frugal number, since it uses more digits than its factorization.

718257945001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99740 (or 49870 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 49.

Multiplying 718257945001 by its sum of digits (49), we get a square (35194639305049 = 5932507²).

The spelling of 718257945001 in words is "seven hundred eighteen billion, two hundred fifty-seven million, nine hundred forty-five thousand, one".