114995121696 has 288 divisors, whose sum is σ = 416364399360. Its totient is φ = 29282383872.

The previous prime is 114995121569. The next prime is 114995121697. The reversal of 114995121696 is 696121599411.

114995121696 is a `hidden beast` number, since 1 + 1 + 499 + 51 + 2 + 16 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (114995121697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684381 + ... + 835683.

It is an arithmetic number, because the mean of its divisors is an integer number (1445709720).

Almost surely, 2^114995121696 is an apocalyptic number.

114995121696 is a gapful number since it is divisible by the number (16) 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 114995121696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208182199680).

114995121696 is an abundant number, since it is smaller than the sum of its proper divisors (301369277664).

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

114995121696 is a wasteful number, since it uses less digits than its factorization.

114995121696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151368 (or 151357 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 114995121696 in words is "one hundred fourteen billion, nine hundred ninety-five million, one hundred twenty-one thousand, six hundred ninety-six".