114810084198264 has 128 divisors (see below), whose sum is σ = 353352940899840. Its totient is φ = 30271770358272.

The previous prime is 114810084198137. The next prime is 114810084198283. The reversal of 114810084198264 is 462891480018411.

It is a happy number.

It is a super-4 number, since 4×114810084198264⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1687807 + ... + 15246929.

It is an arithmetic number, because the mean of its divisors is an integer number (2760569850780).

Almost surely, 2^{114810084198264} is an apocalyptic number.

114810084198264 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 114810084198264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176676470449920).

114810084198264 is an abundant number, since it is smaller than the sum of its proper divisors (238542856701576).

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

114810084198264 is a wasteful number, since it uses less digits than its factorization.

114810084198264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13563029 (or 13563025 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The spelling of 114810084198264 in words is "one hundred fourteen trillion, eight hundred ten billion, eighty-four million, one hundred ninety-eight thousand, two hundred sixty-four".