109359222336 has 1344 divisors, whose sum is σ = 434913024000. Its totient is φ = 26994788352.

The previous prime is 109359222307. The next prime is 109359222359. The reversal of 109359222336 is 633222953901.

It is a happy number.

109359222336 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 592 + 2 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 109359222291 and 109359222300.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1317580951 + ... + 1317581033.

It is an arithmetic number, because the mean of its divisors is an integer number (323596000).

Almost surely, 2^109359222336 is an apocalyptic number.

109359222336 is a gapful number since it is divisible by the number (16) 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 109359222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217456512000).

109359222336 is an abundant number, since it is smaller than the sum of its proper divisors (325553801664).

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

109359222336 is an equidigital number, since it uses as much as digits as its factorization.

109359222336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 109359222336 in words is "one hundred nine billion, three hundred fifty-nine million, two hundred twenty-two thousand, three hundred thirty-six".