114514055334 has 144 divisors (see below), whose sum is σ = 302333767008. Its totient is φ = 30679824384.

The previous prime is 114514055321. The next prime is 114514055339. The reversal of 114514055334 is 433550415411.

114514055334 is a `hidden beast` number, since 1 + 14 + 51 + 40 + 553 + 3 + 4 = 666.

It is a super-2 number, since 2×114514055334² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114514055339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10081002 + ... + 10092354.

Almost surely, 2^114514055334 is an apocalyptic number.

114514055334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114514055334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151166883504).

114514055334 is an abundant number, since it is smaller than the sum of its proper divisors (187819711674).

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

114514055334 is a wasteful number, since it uses less digits than its factorization.

114514055334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11659 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 114514055334 in words is "one hundred fourteen billion, five hundred fourteen million, fifty-five thousand, three hundred thirty-four".