108664974213120 has 1176 divisors, whose sum is σ = 421285457215056. Its totient is φ = 26748301344768.

The previous prime is 108664974213097. The next prime is 108664974213181. The reversal of 108664974213120 is 21312479466801.

108664974213120 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 6 + 4 + 97 + 421 + 3 + 120 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 67392 × 25920 × 62208.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8358844170234 + ... + 8358844170246.

It is an arithmetic number, because the mean of its divisors is an integer number (358235933006).

Almost surely, 2^{108664974213120} is an apocalyptic number.

108664974213120 is a gapful number since it is divisible by the number (10) 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 108664974213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210642728607528).

108664974213120 is an abundant number, since it is smaller than the sum of its proper divisors (312620483001936).

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

108664974213120 is an frugal number, since it uses more digits than its factorization.

108664974213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 108664974213120 in words is "one hundred eight trillion, six hundred sixty-four billion, nine hundred seventy-four million, two hundred thirteen thousand, one hundred twenty".