88638896166912 has 768 divisors, whose sum is σ = 334306732032000. Its totient is φ = 22571140644864.

The previous prime is 88638896166881. The next prime is 88638896166959. The reversal of 88638896166912 is 21966169883688.

88638896166912 is a `hidden beast` number, since 8 + 8 + 6 + 388 + 96 + 1 + 66 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145622433 + ... + 146229855.

It is an arithmetic number, because the mean of its divisors is an integer number (435295224000).

Almost surely, 2^{88638896166912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88638896166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167153366016000).

88638896166912 is an abundant number, since it is smaller than the sum of its proper divisors (245667835865088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88638896166912 is a wasteful number, since it uses less digits than its factorization.

88638896166912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607503 (or 607477 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 81.

The spelling of 88638896166912 in words is "eighty-eight trillion, six hundred thirty-eight billion, eight hundred ninety-six million, one hundred sixty-six thousand, nine hundred twelve".