88629655692688 has 120 divisors (see below), whose sum is σ = 190566832692096. Its totient is φ = 39898644698880.

The previous prime is 88629655692631. The next prime is 88629655692731.

88629655692688 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×88629655692688³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a junction number, because it is equal to n+sod(n) for n = 88629655692599 and 88629655692608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771998106 + ... + 772112902.

Almost surely, 2^{88629655692688} is an apocalyptic number.

88629655692688 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 88629655692688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95283416346048).

88629655692688 is an abundant number, since it is smaller than the sum of its proper divisors (101937176999408).

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

88629655692688 is a wasteful number, since it uses less digits than its factorization.

88629655692688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118661 (or 118644 counting only the distinct ones).

The product of its digits is 42998169600, while the sum is 88.

The spelling of 88629655692688 in words is "eighty-eight trillion, six hundred twenty-nine billion, six hundred fifty-five million, six hundred ninety-two thousand, six hundred eighty-eight".