110913682000 has 240 divisors, whose sum is σ = 307618811136. Its totient is φ = 38576736000.

The previous prime is 110913681947. The next prime is 110913682007. The reversal of 110913682000 is 286319011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110913682007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5556037 + ... + 5575963.

Almost surely, 2^110913682000 is an apocalyptic number.

110913682000 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 110913682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153809405568).

110913682000 is an abundant number, since it is smaller than the sum of its proper divisors (196705129136).

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

110913682000 is a wasteful number, since it uses less digits than its factorization.

110913682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19995 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 110913682000 in words is "one hundred ten billion, nine hundred thirteen million, six hundred eighty-two thousand".