87114883968 has 256 divisors, whose sum is σ = 299388441600. Its totient is φ = 24419985408.

The previous prime is 87114883901. The next prime is 87114883981. The reversal of 87114883968 is 86938841178.

87114883968 is a `hidden beast` number, since 87 + 11 + 488 + 3 + 9 + 68 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248205 + ... + 1316147.

It is an arithmetic number, because the mean of its divisors is an integer number (1169486100).

Almost surely, 2^87114883968 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 87114883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149694220800).

87114883968 is an abundant number, since it is smaller than the sum of its proper divisors (212273557632).

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

87114883968 is a wasteful number, since it uses less digits than its factorization.

87114883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68026 (or 68008 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 87114883968 in words is "eighty-seven billion, one hundred fourteen million, eight hundred eighty-three thousand, nine hundred sixty-eight".