108146189942784 has 1440 divisors, whose sum is σ = 380271577061376. Its totient is φ = 28972060508160.

The previous prime is 108146189942767. The next prime is 108146189942831. The reversal of 108146189942784 is 487249981641801.

108146189942784 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 46 + 1 + 89 + 9 + 427 + 84 = 666.

108146189942784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121923550789 + ... + 121923551675.

Almost surely, 2^{108146189942784} is an apocalyptic number.

108146189942784 is a gapful number since it is divisible by the number (14) 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 108146189942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190135788530688).

108146189942784 is an abundant number, since it is smaller than the sum of its proper divisors (272125387118592).

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

108146189942784 is an equidigital number, since it uses as much as digits as its factorization.

108146189942784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 108146189942784 in words is "one hundred eight trillion, one hundred forty-six billion, one hundred eighty-nine million, nine hundred forty-two thousand, seven hundred eighty-four".