108693302169664 has 63 divisors (see below), whose sum is σ = 220828215492927. Its totient is φ = 53081023976064.

The previous prime is 108693302169643. The next prime is 108693302169671. The reversal of 108693302169664 is 466961203396801.

The square root of 108693302169664 is 10425608.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 108693302169596 and 108693302169605.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3586393999 + ... + 3586424305.

It is an arithmetic number, because the mean of its divisors is an integer number (3505209769729).

Almost surely, 2^{108693302169664} is an apocalyptic number.

108693302169664 is the 10425608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108693302169664

108693302169664 is an abundant number, since it is smaller than the sum of its proper divisors (112134913323263).

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

108693302169664 is an frugal number, since it uses more digits than its factorization.

108693302169664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60712 (or 30352 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

108693302169664 divided by its sum of digits (64) gives a square (1698332846401 = 1303201²).

The spelling of 108693302169664 in words is "one hundred eight trillion, six hundred ninety-three billion, three hundred two million, one hundred sixty-nine thousand, six hundred sixty-four".