109334495232000 has 2208 divisors, whose sum is σ = 440953502296320. Its totient is φ = 25930865049600.

The previous prime is 109334495231993. The next prime is 109334495232031. The reversal of 109334495232000 is 232594433901.

109334495232000 is a `hidden beast` number, since 1 + 0 + 9 + 334 + 4 + 95 + 23 + 200 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 2326265855977 + ... + 2326265856023.

Almost surely, 2^{109334495232000} is an apocalyptic number.

109334495232000 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 109334495232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220476751148160).

109334495232000 is an abundant number, since it is smaller than the sum of its proper divisors (331619007064320).

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

109334495232000 is an frugal number, since it uses more digits than its factorization.

109334495232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 109334495232000 in words is "one hundred nine trillion, three hundred thirty-four billion, four hundred ninety-five million, two hundred thirty-two thousand".