88221316401 has 16 divisors (see below), whose sum is σ = 137577102400. Its totient is φ = 55718725824.

The previous prime is 88221316397. The next prime is 88221316409. The reversal of 88221316401 is 10461312288.

88221316401 is a `hidden beast` number, since 8 + 8 + 2 + 2 + 1 + 3 + 1 + 640 + 1 = 666.

It is not a de Polignac number, because 88221316401 - 2² = 88221316397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (88221316409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85985176 + ... + 85986201.

It is an arithmetic number, because the mean of its divisors is an integer number (8598568900).

Almost surely, 2^88221316401 is an apocalyptic number.

It is an amenable number.

88221316401 is a deficient number, since it is larger than the sum of its proper divisors (49355785999).

88221316401 is a wasteful number, since it uses less digits than its factorization.

88221316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171971405 (or 171971399 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 88221316401 its reverse (10461312288), we get a palindrome (98682628689).

The spelling of 88221316401 in words is "eighty-eight billion, two hundred twenty-one million, three hundred sixteen thousand, four hundred one".