109344936476160 has 7200 divisors, whose sum is σ = 547724683376640. Its totient is φ = 20692869120000.

The previous prime is 109344936476131. The next prime is 109344936476177. The reversal of 109344936476160 is 61674639443901.

109344936476160 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 4 + 4 + 9 + 3 + 6 + 4 + 7 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 724138652085 + ... + 724138652235.

Almost surely, 2^{109344936476160} is an apocalyptic number.

109344936476160 is a gapful number since it is divisible by the number (10) 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 109344936476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273862341688320).

109344936476160 is an abundant number, since it is smaller than the sum of its proper divisors (438379746900480).

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

109344936476160 is a wasteful number, since it uses less digits than its factorization.

109344936476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 109344936476160 in words is "one hundred nine trillion, three hundred forty-four billion, nine hundred thirty-six million, four hundred seventy-six thousand, one hundred sixty".