109356956509392 has 400 divisors, whose sum is σ = 340978560975360. Its totient is φ = 33730167204864.

The previous prime is 109356956509369. The next prime is 109356956509433. The reversal of 109356956509392 is 293905659653901.

109356956509392 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 5 + 69 + 56 + 509 + 3 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 109356956509392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290843178 + ... + 291218934.

Almost surely, 2^{109356956509392} is an apocalyptic number.

109356956509392 is a gapful number since it is divisible by the number (12) 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 109356956509392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170489280487680).

109356956509392 is an abundant number, since it is smaller than the sum of its proper divisors (231621604465968).

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

109356956509392 is a wasteful number, since it uses less digits than its factorization.

109356956509392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376072 (or 376057 counting only the distinct ones).

The product of its (nonzero) digits is 531441000, while the sum is 72.

The spelling of 109356956509392 in words is "one hundred nine trillion, three hundred fifty-six billion, nine hundred fifty-six million, five hundred nine thousand, three hundred ninety-two".