109467681120 has 768 divisors, whose sum is σ = 478653235200. Its totient is φ = 22786375680.

The previous prime is 109467681107. The next prime is 109467681139. The reversal of 109467681120 is 21186764901.

109467681120 is a `hidden beast` number, since 1 + 0 + 9 + 467 + 68 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15933046 + ... + 15939914.

It is an arithmetic number, because the mean of its divisors is an integer number (623246400).

Almost surely, 2^109467681120 is an apocalyptic number.

109467681120 is a gapful number since it is divisible by the number (10) 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 109467681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239326617600).

109467681120 is an abundant number, since it is smaller than the sum of its proper divisors (369185554080).

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

109467681120 is a wasteful number, since it uses less digits than its factorization.

109467681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 109467681120 in words is "one hundred nine billion, four hundred sixty-seven million, six hundred eighty-one thousand, one hundred twenty".