88646897664 has 936 divisors, whose sum is σ = 314276481792. Its totient is φ = 24843386880.

The previous prime is 88646897657. The next prime is 88646897687. The reversal of 88646897664 is 46679864688.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88646897592 and 88646897601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2859577329 + ... + 2859577359.

It is an arithmetic number, because the mean of its divisors is an integer number (335765472).

Almost surely, 2^88646897664 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 88646897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157138240896).

88646897664 is an abundant number, since it is smaller than the sum of its proper divisors (225629584128).

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

88646897664 is a wasteful number, since it uses less digits than its factorization.

88646897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

It can be divided in two parts, 88646 and 897664, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 88646897664 in words is "eighty-eight billion, six hundred forty-six million, eight hundred ninety-seven thousand, six hundred sixty-four".