110996014272000 has 5760 divisors, whose sum is σ = 496934664145920. Its totient is φ = 21731770368000.

The previous prime is 110996014271983. The next prime is 110996014272041. The reversal of 110996014272000 is 272410699011.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3827448767986 + ... + 3827448768014.

It is an arithmetic number, because the mean of its divisors is an integer number (86273379192).

Almost surely, 2^{110996014272000} is an apocalyptic number.

110996014272000 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 110996014272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248467332072960).

110996014272000 is an abundant number, since it is smaller than the sum of its proper divisors (385938649873920).

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

110996014272000 is a wasteful number, since it uses less digits than its factorization.

110996014272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 110996014272000 in words is "one hundred ten trillion, nine hundred ninety-six billion, fourteen million, two hundred seventy-two thousand".