88352813364192 has 432 divisors, whose sum is σ = 281130339056112. Its totient is φ = 27170274631680.

The previous prime is 88352813364131. The next prime is 88352813364203. The reversal of 88352813364192 is 29146331825388.

88352813364192 is a `hidden beast` number, since 8 + 8 + 3 + 5 + 2 + 81 + 3 + 364 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5488767088 + ... + 5488783184.

It is an arithmetic number, because the mean of its divisors is an integer number (650764673741).

Almost surely, 2^{88352813364192} 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 88352813364192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140565169528056).

88352813364192 is an abundant number, since it is smaller than the sum of its proper divisors (192777525691920).

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

88352813364192 is a wasteful number, since it uses less digits than its factorization.

88352813364192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18155 (or 18126 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 88352813364192 in words is "eighty-eight trillion, three hundred fifty-two billion, eight hundred thirteen million, three hundred sixty-four thousand, one hundred ninety-two".