1109610931968 has 576 divisors, whose sum is σ = 4118380707840. Its totient is φ = 286281216000.

The previous prime is 1109610931937. The next prime is 1109610931993. The reversal of 1109610931968 is 8691390169011.

It is a happy number.

1109610931968 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 610 + 9 + 3 + 19 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80358921 + ... + 80372727.

Almost surely, 2^{1109610931968} is an apocalyptic number.

1109610931968 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 1109610931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059190353920).

1109610931968 is an abundant number, since it is smaller than the sum of its proper divisors (3008769775872).

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

1109610931968 is a wasteful number, since it uses less digits than its factorization.

1109610931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14001 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 1109610931968 in words is "one trillion, one hundred nine billion, six hundred ten million, nine hundred thirty-one thousand, nine hundred sixty-eight".