88982382146112 has 1344 divisors, whose sum is σ = 345622717440000. Its totient is φ = 21215249104896.

The previous prime is 88982382146107. The next prime is 88982382146123. The reversal of 88982382146112 is 21164128328988.

88982382146112 is a `hidden beast` number, since 8 + 8 + 9 + 8 + 2 + 3 + 8 + 2 + 1 + 4 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 88982382146112.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10055638264 + ... + 10055647112.

It is an arithmetic number, because the mean of its divisors is an integer number (257159760000).

Almost surely, 2^{88982382146112} 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 88982382146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172811358720000).

88982382146112 is an abundant number, since it is smaller than the sum of its proper divisors (256640335293888).

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

88982382146112 is a wasteful number, since it uses less digits than its factorization.

88982382146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9355 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 88982382146112 in words is "eighty-eight trillion, nine hundred eighty-two billion, three hundred eighty-two million, one hundred forty-six thousand, one hundred twelve".