114034501110096 has 120 divisors (see below), whose sum is σ = 364814766937920. Its totient is φ = 32573659880448.

The previous prime is 114034501110091. The next prime is 114034501110097. The reversal of 114034501110096 is 690011105430411.

It is a happy number.

114034501110096 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 450 + 1 + 110 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114034501110096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114034501110091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8930526 + ... + 17544893.

It is an arithmetic number, because the mean of its divisors is an integer number (3040123057816).

Almost surely, 2^{114034501110096} is an apocalyptic number.

114034501110096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114034501110096 is an abundant number, since it is smaller than the sum of its proper divisors (250780265827824).

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

114034501110096 is a wasteful number, since it uses less digits than its factorization.

114034501110096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26479713 (or 26479704 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 114034501110096 in words is "one hundred fourteen trillion, thirty-four billion, five hundred one million, one hundred ten thousand, ninety-six".