114010434010452 has 144 divisors (see below), whose sum is σ = 311524378659200. Its totient is φ = 31789968576768.

The previous prime is 114010434010367. The next prime is 114010434010463. The reversal of 114010434010452 is 254010434010411.

114010434010452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114010434010452² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63878778 + ... + 65639310.

Almost surely, 2^{114010434010452} is an apocalyptic number.

114010434010452 is a gapful number since it is divisible by the number (12) 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 114010434010452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155762189329600).

114010434010452 is an abundant number, since it is smaller than the sum of its proper divisors (197513944648748).

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

114010434010452 is a wasteful number, since it uses less digits than its factorization.

114010434010452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760990 (or 1760941 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114010434010452 its reverse (254010434010411), we get a palindrome (368020868020863).

The spelling of 114010434010452 in words is "one hundred fourteen trillion, ten billion, four hundred thirty-four million, ten thousand, four hundred fifty-two".