109642563140544 has 1120 divisors, whose sum is σ = 390621417652224. Its totient is φ = 29753210511360.

The previous prime is 109642563140501. The next prime is 109642563140563. The reversal of 109642563140544 is 445041365246901.

109642563140544 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 4 + 2 + 56 + 3 + 1 + 40 + 544 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26567132209 + ... + 26567136335.

Almost surely, 2^{109642563140544} is an apocalyptic number.

109642563140544 is a gapful number since it is divisible by the number (14) 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 109642563140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195310708826112).

109642563140544 is an abundant number, since it is smaller than the sum of its proper divisors (280978854511680).

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

109642563140544 is a wasteful number, since it uses less digits than its factorization.

109642563140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 109642563140544 in words is "one hundred nine trillion, six hundred forty-two billion, five hundred sixty-three million, one hundred forty thousand, five hundred forty-four".