88683855838688 has 192 divisors, whose sum is σ = 193838394133440. Its totient is φ = 39602342707200.

The previous prime is 88683855838667. The next prime is 88683855838693.

88683855838688 is nontrivially palindromic in base 10.

88683855838688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×88683855838688² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88683855838597 and 88683855838606.

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, 7323790778 + ... + 7323802886.

It is an arithmetic number, because the mean of its divisors is an integer number (1009574969445).

Almost surely, 2^{88683855838688} is an apocalyptic number.

88683855838688 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 88683855838688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96919197066720).

88683855838688 is an abundant number, since it is smaller than the sum of its proper divisors (105154538294752).

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

88683855838688 is a wasteful number, since it uses less digits than its factorization.

88683855838688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13301 (or 13293 counting only the distinct ones).

The product of its digits is 135895449600, while the sum is 92.

The spelling of 88683855838688 in words is "eighty-eight trillion, six hundred eighty-three billion, eight hundred fifty-five million, eight hundred thirty-eight thousand, six hundred eighty-eight".