108679133376 has 840 divisors, whose sum is σ = 382993830912. Its totient is φ = 30485030400.

The previous prime is 108679133279. The next prime is 108679133377. The reversal of 108679133376 is 673331976801.

It is a super-2 number, since 2×108679133376² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108679133377) 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 119 ways as a sum of consecutive naturals, for example, 3505778481 + ... + 3505778511.

Almost surely, 2^108679133376 is an apocalyptic number.

108679133376 is a gapful number since it is divisible by the number (16) 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 108679133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191496915456).

108679133376 is an abundant number, since it is smaller than the sum of its proper divisors (274314697536).

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

108679133376 is an frugal number, since it uses more digits than its factorization.

108679133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 108679133376 in words is "one hundred eight billion, six hundred seventy-nine million, one hundred thirty-three thousand, three hundred seventy-six".