718186401 has 9 divisors (see below), whose sum is σ = 1037496499. Its totient is φ = 478737336.

The previous prime is 718186379. The next prime is 718186433. The reversal of 718186401 is 104681817.

The square root of 718186401 is 26799.

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

718186401 is a `hidden beast` number, since 7 + 1 + 8 + 1 + 8 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183467025 + 534719376 = 13545^2 + 23124^2 .

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

It is not a de Polignac number, because 718186401 - 2¹¹ = 718184353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (718186481) 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, 75931 + ... + 84863.

Almost surely, 2^718186401 is an apocalyptic number.

718186401 is the 26799-th square number.

718186401 is the 13400-th centered octagonal number.

It is an amenable number.

718186401 is a deficient number, since it is larger than the sum of its proper divisors (319310098).

718186401 is an frugal number, since it uses more digits than its factorization.

718186401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17872 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The cubic root of 718186401 is about 895.5277729416.

Multiplying 718186401 by its sum of digits (36), we get a square (25854710436 = 160794²).

The spelling of 718186401 in words is "seven hundred eighteen million, one hundred eighty-six thousand, four hundred one".