88817139417601 has 64 divisors (see below), whose sum is σ = 109606514688000. Its totient is φ = 70295435020800.

The previous prime is 88817139417581. The next prime is 88817139417623. The reversal of 88817139417601 is 10671493171888.

It is a cyclic number.

It is not a de Polignac number, because 88817139417601 - 2¹⁹ = 88817138893313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88817139417631) 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 63 ways as a sum of consecutive naturals, for example, 3435986125 + ... + 3436011973.

It is an arithmetic number, because the mean of its divisors is an integer number (1712601792000).

Almost surely, 2^{88817139417601} is an apocalyptic number.

It is an amenable number.

88817139417601 is a deficient number, since it is larger than the sum of its proper divisors (20789375270399).

88817139417601 is a wasteful number, since it uses less digits than its factorization.

88817139417601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27590.

The product of its (nonzero) digits is 16257024, while the sum is 64.

The spelling of 88817139417601 in words is "eighty-eight trillion, eight hundred seventeen billion, one hundred thirty-nine million, four hundred seventeen thousand, six hundred one".