114356796876 has 144 divisors (see below), whose sum is σ = 334549051200. Its totient is φ = 32261677056.

The previous prime is 114356796859. The next prime is 114356796893. The reversal of 114356796876 is 678697653411.

114356796876 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 567 + 9 + 68 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114356796859) and next prime (114356796893).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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, 7652580 + ... + 7667508.

It is an arithmetic number, because the mean of its divisors is an integer number (2323257300).

Almost surely, 2^114356796876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114356796876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167274525600).

114356796876 is an abundant number, since it is smaller than the sum of its proper divisors (220192254324).

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

114356796876 is a wasteful number, since it uses less digits than its factorization.

114356796876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328 (or 15323 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 114356796876 in words is "one hundred fourteen billion, three hundred fifty-six million, seven hundred ninety-six thousand, eight hundred seventy-six".