8825646698401 has 9 divisors (see below), whose sum is σ = 9556807179699. Its totient is φ = 8146715148936.

The previous prime is 8825646698387. The next prime is 8825646698447. The reversal of 8825646698401 is 1048966465288.

The square root of 8825646698401 is 2970799.

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., 1305569038225 + 7520077660176 = 1142615^2 + 2742276^2 .

It is not a de Polignac number, because 8825646698401 - 2⁵ = 8825646698369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8825646698461) 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, 38506126 + ... + 38734648.

It is an arithmetic number, because the mean of its divisors is an integer number (1061867464411).

Almost surely, 2^{8825646698401} is an apocalyptic number.

8825646698401 is the 2970799-th square number.

8825646698401 is the 1485400-th centered octagonal number.

It is an amenable number.

8825646698401 is a deficient number, since it is larger than the sum of its proper divisors (731160481298).

8825646698401 is an frugal number, since it uses more digits than its factorization.

8825646698401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457072 (or 228536 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 67.

The spelling of 8825646698401 in words is "eight trillion, eight hundred twenty-five billion, six hundred forty-six million, six hundred ninety-eight thousand, four hundred one".