88940190468864 has 1152 divisors, whose sum is σ = 301700286720000. Its totient is φ = 23158585884672.

The previous prime is 88940190468841. The next prime is 88940190468881. The reversal of 88940190468864 is 46886409104988.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46011478842 + ... + 46011480774.

It is an arithmetic number, because the mean of its divisors is an integer number (261892610000).

Almost surely, 2^{88940190468864} is an apocalyptic number.

88940190468864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88940190468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150850143360000).

88940190468864 is an abundant number, since it is smaller than the sum of its proper divisors (212760096251136).

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

88940190468864 is a wasteful number, since it uses less digits than its factorization.

88940190468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 75.

The spelling of 88940190468864 in words is "eighty-eight trillion, nine hundred forty billion, one hundred ninety million, four hundred sixty-eight thousand, eight hundred sixty-four".