108394347409920 has 960 divisors, whose sum is σ = 441289418169600. Its totient is φ = 24241784094720.

The previous prime is 108394347409897. The next prime is 108394347409939. The reversal of 108394347409920 is 29904743493801.

108394347409920 is a `hidden beast` number, since 1 + 0 + 8 + 39 + 43 + 474 + 0 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×108394347409920² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6190770126 + ... + 6190787634.

It is an arithmetic number, because the mean of its divisors is an integer number (459676477260).

Almost surely, 2^{108394347409920} is an apocalyptic number.

108394347409920 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 108394347409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220644709084800).

108394347409920 is an abundant number, since it is smaller than the sum of its proper divisors (332895070759680).

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

108394347409920 is a wasteful number, since it uses less digits than its factorization.

108394347409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19441 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 108394347409920 in words is "one hundred eight trillion, three hundred ninety-four billion, three hundred forty-seven million, four hundred nine thousand, nine hundred twenty".