87333494688 has 144 divisors (see below), whose sum is σ = 271060013952. Its totient is φ = 26452224000.

The previous prime is 87333494687. The next prime is 87333494701. The reversal of 87333494688 is 88649433378.

87333494688 is a `hidden beast` number, since 87 + 3 + 3 + 3 + 494 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (87333494687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8456568 + ... + 8466888.

It is an arithmetic number, because the mean of its divisors is an integer number (1882361208).

Almost surely, 2^87333494688 is an apocalyptic number.

87333494688 is a gapful number since it is divisible by the number (88) 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 87333494688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135530006976).

87333494688 is an abundant number, since it is smaller than the sum of its proper divisors (183726519264).

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

87333494688 is a wasteful number, since it uses less digits than its factorization.

87333494688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13019 (or 13008 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 87333494688 in words is "eighty-seven billion, three hundred thirty-three million, four hundred ninety-four thousand, six hundred eighty-eight".