114010520502000 has 640 divisors, whose sum is σ = 393472001894400. Its totient is φ = 28300658688000.

The previous prime is 114010520501987. The next prime is 114010520502007. The reversal of 114010520502000 is 205025010411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114010520502007) 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, 6348369021 + ... + 6348386979.

It is an arithmetic number, because the mean of its divisors is an integer number (614800002960).

Almost surely, 2^{114010520502000} is an apocalyptic number.

114010520502000 is a gapful number since it is divisible by the number (10) 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 114010520502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196736000947200).

114010520502000 is an abundant number, since it is smaller than the sum of its proper divisors (279461481392400).

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

114010520502000 is a wasteful number, since it uses less digits than its factorization.

114010520502000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18682 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 114010520502000 its reverse (205025010411), we get a palindrome (114215545512411).

The spelling of 114010520502000 in words is "one hundred fourteen trillion, ten billion, five hundred twenty million, five hundred two thousand".