109061733991392 has 144 divisors (see below), whose sum is σ = 381716069061600. Its totient is φ = 28763534232576.

The previous prime is 109061733991369. The next prime is 109061733991411. The reversal of 109061733991392 is 293199337160901.

109061733991392 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 61 + 73 + 39 + 91 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080669267 + ... + 2080721682.

It is an arithmetic number, because the mean of its divisors is an integer number (2650806035150).

Almost surely, 2^{109061733991392} is an apocalyptic number.

109061733991392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109061733991392 is an abundant number, since it is smaller than the sum of its proper divisors (272654335070208).

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

109061733991392 is a wasteful number, since it uses less digits than its factorization.

109061733991392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161390985 (or 4161390974 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

The spelling of 109061733991392 in words is "one hundred nine trillion, sixty-one billion, seven hundred thirty-three million, nine hundred ninety-one thousand, three hundred ninety-two".