109932342041664 has 168 divisors, whose sum is σ = 333642892853088. Its totient is φ = 34487924797440.

The previous prime is 109932342041663. The next prime is 109932342041677. The reversal of 109932342041664 is 466140243239901.

It is a happy number.

109932342041664 is a `hidden beast` number, since 1 + 0 + 99 + 32 + 3 + 420 + 41 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 109932342041664.

It is not an unprimeable number, because it can be changed into a prime (109932342041663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957316219 + ... + 957431045.

It is an arithmetic number, because the mean of its divisors is an integer number (1985969600316).

Almost surely, 2^{109932342041664} is an apocalyptic number.

It is an amenable number.

109932342041664 is an abundant number, since it is smaller than the sum of its proper divisors (223710550811424).

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

109932342041664 is a wasteful number, since it uses less digits than its factorization.

109932342041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212633 (or 212620 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 109932342041664 in words is "one hundred nine trillion, nine hundred thirty-two billion, three hundred forty-two million, forty-one thousand, six hundred sixty-four".