109744987968 has 1344 divisors, whose sum is σ = 440316518400. Its totient is φ = 26440888320.

The previous prime is 109744987909. The next prime is 109744987969. The reversal of 109744987968 is 869789447901.

109744987968 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 4 + 498 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×109744987968³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 109744987896 and 109744987905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109744987969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1006834698 + ... + 1006834806.

Almost surely, 2^109744987968 is an apocalyptic number.

109744987968 is a gapful number since it is divisible by the number (18) 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 109744987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220158259200).

109744987968 is an abundant number, since it is smaller than the sum of its proper divisors (330571530432).

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

109744987968 is a wasteful number, since it uses less digits than its factorization.

109744987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 109744987968 in words is "one hundred nine billion, seven hundred forty-four million, nine hundred eighty-seven thousand, nine hundred sixty-eight".