114347105190864 has 1280 divisors, whose sum is σ = 445244302540800. Its totient is φ = 27233589436416.

The previous prime is 114347105190839. The next prime is 114347105190893. The reversal of 114347105190864 is 468091501743411.

114347105190864 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 47 + 1 + 0 + 519 + 0 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 114347105190864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5033536434 + ... + 5033559150.

It is an arithmetic number, because the mean of its divisors is an integer number (347847111360).

Almost surely, 2^{114347105190864} is an apocalyptic number.

114347105190864 is a gapful number since it is divisible by the number (14) 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 114347105190864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222622151270400).

114347105190864 is an abundant number, since it is smaller than the sum of its proper divisors (330897197349936).

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

114347105190864 is a wasteful number, since it uses less digits than its factorization.

114347105190864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23089 (or 23077 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 114347105190864 in words is "one hundred fourteen trillion, three hundred forty-seven billion, one hundred five million, one hundred ninety thousand, eight hundred sixty-four".