114026357932704 has 576 divisors, whose sum is σ = 406231464038400. Its totient is φ = 30735071474688.

The previous prime is 114026357932703. The next prime is 114026357932733. The reversal of 114026357932704 is 407239753620411.

114026357932704 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 63 + 579 + 3 + 2 + 7 + 0 + 4 = 666.

114026357932704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (114026357932703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246945054 + ... + 247406370.

It is an arithmetic number, because the mean of its divisors is an integer number (705262958400).

Almost surely, 2^{114026357932704} is an apocalyptic number.

114026357932704 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 114026357932704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203115732019200).

114026357932704 is an abundant number, since it is smaller than the sum of its proper divisors (292205106105696).

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

114026357932704 is a wasteful number, since it uses less digits than its factorization.

114026357932704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461607 (or 461587 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 114026357932704 in words is "one hundred fourteen trillion, twenty-six billion, three hundred fifty-seven million, nine hundred thirty-two thousand, seven hundred four".