109737312768 has 240 divisors, whose sum is σ = 320540477400. Its totient is φ = 36139696128.

The previous prime is 109737312767. The next prime is 109737312781. The reversal of 109737312768 is 867213737901.

109737312768 is a `hidden beast` number, since 1 + 0 + 97 + 373 + 127 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89971202304 + 19766110464 = 299952^2 + 140592^2 .

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 not an unprimeable number, because it can be changed into a prime (109737312767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190185696 + ... + 190186272.

Almost surely, 2^109737312768 is an apocalyptic number.

109737312768 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 109737312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160270238700).

109737312768 is an abundant number, since it is smaller than the sum of its proper divisors (210803164632).

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

109737312768 is a wasteful number, since it uses less digits than its factorization.

109737312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 109737312768 in words is "one hundred nine billion, seven hundred thirty-seven million, three hundred twelve thousand, seven hundred sixty-eight".