109742868783744 has 512 divisors, whose sum is σ = 354275740915200. Its totient is φ = 29382790348800.

The previous prime is 109742868783721. The next prime is 109742868783767. The reversal of 109742868783744 is 447387868247901.

It is an interprime number because it is at equal distance from previous prime (109742868783721) and next prime (109742868783767).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 109742868783744.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22355440362 + ... + 22355445270.

It is an arithmetic number, because the mean of its divisors is an integer number (691944806475).

Almost surely, 2^{109742868783744} is an apocalyptic number.

109742868783744 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 109742868783744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177137870457600).

109742868783744 is an abundant number, since it is smaller than the sum of its proper divisors (244532872131456).

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

109742868783744 is a wasteful number, since it uses less digits than its factorization.

109742868783744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 3641573376, while the sum is 78.

The spelling of 109742868783744 in words is "one hundred nine trillion, seven hundred forty-two billion, eight hundred sixty-eight million, seven hundred eighty-three thousand, seven hundred forty-four".