109861415106912 has 960 divisors, whose sum is σ = 393421854228480. Its totient is φ = 29415282969600.

The previous prime is 109861415106691. The next prime is 109861415106913. The reversal of 109861415106912 is 219601514168901.

109861415106912 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 61 + 4 + 1 + 510 + 69 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109861415106913) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2223395487 + ... + 2223444897.

It is an arithmetic number, because the mean of its divisors is an integer number (409814431488).

Almost surely, 2^{109861415106912} is an apocalyptic number.

109861415106912 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 109861415106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196710927114240).

109861415106912 is an abundant number, since it is smaller than the sum of its proper divisors (283560439121568).

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

109861415106912 is a wasteful number, since it uses less digits than its factorization.

109861415106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49597 (or 49580 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 109861415106912 in words is "one hundred nine trillion, eight hundred sixty-one billion, four hundred fifteen million, one hundred six thousand, nine hundred twelve".