88838279663616 has 780 divisors, whose sum is σ = 324963175302480. Its totient is φ = 24046368030720.

The previous prime is 88838279663563. The next prime is 88838279663689. The reversal of 88838279663616 is 61636697283888.

88838279663616 is a `hidden beast` number, since 8 + 88 + 382 + 7 + 96 + 63 + 6 + 16 = 666.

It is a super-2 number, since 2×88838279663616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 308739651 + ... + 309027261.

It is an arithmetic number, because the mean of its divisors is an integer number (416619455516).

Almost surely, 2^{88838279663616} 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 88838279663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162481587651240).

88838279663616 is an abundant number, since it is smaller than the sum of its proper divisors (236124895638864).

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

88838279663616 is a wasteful number, since it uses less digits than its factorization.

88838279663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287680 (or 287642 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 88838279663616 in words is "eighty-eight trillion, eight hundred thirty-eight billion, two hundred seventy-nine million, six hundred sixty-three thousand, six hundred sixteen".