109346495037120 has 2688 divisors, whose sum is σ = 448112859586560. Its totient is φ = 24884178739200.

The previous prime is 109346495037083. The next prime is 109346495037137. The reversal of 109346495037120 is 21730594643901.

109346495037120 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 4 + 6 + 4 + 9 + 503 + 7 + 120 = 666.

109346495037120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 654769431277 + ... + 654769431443.

It is an arithmetic number, because the mean of its divisors is an integer number (166708653120).

Almost surely, 2^{109346495037120} is an apocalyptic number.

109346495037120 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 109346495037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224056429793280).

109346495037120 is an abundant number, since it is smaller than the sum of its proper divisors (338766364549440).

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

109346495037120 is a wasteful number, since it uses less digits than its factorization.

109346495037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 109346495037120 in words is "one hundred nine trillion, three hundred forty-six billion, four hundred ninety-five million, thirty-seven thousand, one hundred twenty".