114119218676736 has 1760 divisors, whose sum is σ = 427221835729920. Its totient is φ = 29911883710464.

The previous prime is 114119218676699. The next prime is 114119218676807. The reversal of 114119218676736 is 637676812911411.

114119218676736 is a `hidden beast` number, since 1 + 1 + 411 + 9 + 2 + 1 + 86 + 76 + 73 + 6 = 666.

It is a super-2 number, since 2×114119218676736² (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192443876056 + ... + 192443876648.

It is an arithmetic number, because the mean of its divisors is an integer number (242739679392).

Almost surely, 2^{114119218676736} is an apocalyptic number.

114119218676736 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 114119218676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213610917864960).

114119218676736 is an abundant number, since it is smaller than the sum of its proper divisors (313102617053184).

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

114119218676736 is an equidigital number, since it uses as much as digits as its factorization.

114119218676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 841 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 114119218676736 in words is "one hundred fourteen trillion, one hundred nineteen billion, two hundred eighteen million, six hundred seventy-six thousand, seven hundred thirty-six".