88496688664608 has 768 divisors, whose sum is σ = 296720357068800. Its totient is φ = 22520530206720.

The previous prime is 88496688664603. The next prime is 88496688664651. The reversal of 88496688664608 is 80646688669488.

It is a Harshad number since it is a multiple of its sum of digits (87).

It is not an unprimeable number, because it can be changed into a prime (88496688664603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8304084816 + ... + 8304095472.

It is an arithmetic number, because the mean of its divisors is an integer number (386354631600).

Almost surely, 2^{88496688664608} 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 88496688664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148360178534400).

88496688664608 is an abundant number, since it is smaller than the sum of its proper divisors (208223668404192).

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

88496688664608 is a wasteful number, since it uses less digits than its factorization.

88496688664608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 36691771392, while the sum is 87.

The spelling of 88496688664608 in words is "eighty-eight trillion, four hundred ninety-six billion, six hundred eighty-eight million, six hundred sixty-four thousand, six hundred eight".