88315874918401 has 18 divisors (see below), whose sum is σ = 96997884007830. Its totient is φ = 80374143245760.

The previous prime is 88315874918399. The next prime is 88315874918407. The reversal of 88315874918401 is 10481947851388.

It can be written as a sum of positive squares in 3 ways, for example, as 7078698225 + 88308796220176 = 84135^2 + 9397276^2 .

It is not a de Polignac number, because 88315874918401 - 2¹ = 88315874918399 is a prime.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (88315874918407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50980956 + ... + 52684813.

Almost surely, 2^{88315874918401} is an apocalyptic number.

It is an amenable number.

88315874918401 is a deficient number, since it is larger than the sum of its proper divisors (8682009089429).

88315874918401 is a wasteful number, since it uses less digits than its factorization.

88315874918401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103665937 (or 103665853 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 67.

The spelling of 88315874918401 in words is "eighty-eight trillion, three hundred fifteen billion, eight hundred seventy-four million, nine hundred eighteen thousand, four hundred one".