8658116401 has 15 divisors (see below), whose sum is σ = 9536269755. Its totient is φ = 7860779520.

The previous prime is 8658116381. The next prime is 8658116413. The reversal of 8658116401 is 1046118568.

The square root of 8658116401 is 93049.

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

It can be written as a sum of positive squares in only one way, i.e., 3387356401 + 5270760000 = 58201^2 + 72600^2 .

It is not a de Polignac number, because 8658116401 - 2¹⁵ = 8658083633 is a prime.

It is a super-2 number, since 2×8658116401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8658116461) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11258545 + ... + 11259313.

It is an arithmetic number, because the mean of its divisors is an integer number (635751317).

Almost surely, 2^8658116401 is an apocalyptic number.

8658116401 is the 93049-th square number.

8658116401 is the 46525-th centered octagonal number.

It is an amenable number.

8658116401 is a deficient number, since it is larger than the sum of its proper divisors (878153354).

8658116401 is an frugal number, since it uses more digits than its factorization.

8658116401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The cubic root of 8658116401 is about 2053.4043296739.

The spelling of 8658116401 in words is "eight billion, six hundred fifty-eight million, one hundred sixteen thousand, four hundred one".