109375614226944 has 2400 divisors, whose sum is σ = 386397843955200. Its totient is φ = 30580775976960.

The previous prime is 109375614226903. The next prime is 109375614226993. The reversal of 109375614226944 is 449622416573901.

109375614226944 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 7 + 5 + 614 + 2 + 2 + 6 + 9 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 786874922427 + ... + 786874922565.

It is an arithmetic number, because the mean of its divisors is an integer number (160999101648).

Almost surely, 2^{109375614226944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109375614226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193198921977600).

109375614226944 is an abundant number, since it is smaller than the sum of its proper divisors (277022229728256).

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

109375614226944 is a wasteful number, since it uses less digits than its factorization.

109375614226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 109375614226944 in words is "one hundred nine trillion, three hundred seventy-five billion, six hundred fourteen million, two hundred twenty-six thousand, nine hundred forty-four".