109135014912 has 1056 divisors, whose sum is σ = 418881835008. Its totient is φ = 26763264000.

The previous prime is 109135014899. The next prime is 109135014917. The reversal of 109135014912 is 219410531901.

109135014912 is a `hidden beast` number, since 10 + 91 + 3 + 501 + 49 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109135014917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2661829612 + ... + 2661829652.

Almost surely, 2^109135014912 is an apocalyptic number.

109135014912 is a gapful number since it is divisible by the number (12) 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 109135014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209440917504).

109135014912 is an abundant number, since it is smaller than the sum of its proper divisors (309746820096).

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

109135014912 is a wasteful number, since it uses less digits than its factorization.

109135014912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 109135014912 in words is "one hundred nine billion, one hundred thirty-five million, fourteen thousand, nine hundred twelve".