109614074274432 has 576 divisors, whose sum is σ = 398985623487360. Its totient is φ = 28628514754560.

The previous prime is 109614074274427. The next prime is 109614074274433. The reversal of 109614074274432 is 234472470416901.

109614074274432 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 140 + 7 + 427 + 44 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (109614074274433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74858757 + ... + 76308987.

It is an arithmetic number, because the mean of its divisors is an integer number (692683374110).

Almost surely, 2^{109614074274432} is an apocalyptic number.

109614074274432 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 109614074274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199492811743680).

109614074274432 is an abundant number, since it is smaller than the sum of its proper divisors (289371549212928).

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

109614074274432 is a wasteful number, since it uses less digits than its factorization.

109614074274432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450381 (or 1450359 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 109614074274432 in words is "one hundred nine trillion, six hundred fourteen billion, seventy-four million, two hundred seventy-four thousand, four hundred thirty-two".