114360291047808 has 1024 divisors, whose sum is σ = 383807521843200. Its totient is φ = 33259204509696.

The previous prime is 114360291047803. The next prime is 114360291047809. The reversal of 114360291047808 is 808740192063411.

114360291047808 is a `hidden beast` number, since 1 + 1 + 436 + 0 + 2 + 91 + 0 + 47 + 80 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114360291047803) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32985372091 + ... + 32985375557.

It is an arithmetic number, because the mean of its divisors is an integer number (374812033050).

Almost surely, 2^{114360291047808} is an apocalyptic number.

114360291047808 is a gapful number since it is divisible by the number (18) 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 114360291047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191903760921600).

114360291047808 is an abundant number, since it is smaller than the sum of its proper divisors (269447230795392).

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

114360291047808 is a wasteful number, since it uses less digits than its factorization.

114360291047808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 114360291047808 in words is "one hundred fourteen trillion, three hundred sixty billion, two hundred ninety-one million, forty-seven thousand, eight hundred eight".