108993357686016 has 432 divisors, whose sum is σ = 330892180449600. Its totient is φ = 35369951920128.

The previous prime is 108993357685939. The next prime is 108993357686041. The reversal of 108993357686016 is 610686753399801.

108993357686016 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 9 + 3 + 3 + 5 + 7 + 6 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33754522290 + ... + 33754525518.

Almost surely, 2^{108993357686016} is an apocalyptic number.

108993357686016 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 108993357686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165446090224800).

108993357686016 is an abundant number, since it is smaller than the sum of its proper divisors (221898822763584).

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

108993357686016 is an frugal number, since it uses more digits than its factorization.

108993357686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 108993357686016 in words is "one hundred eight trillion, nine hundred ninety-three billion, three hundred fifty-seven million, six hundred eighty-six thousand, sixteen".