114510250142010 has 256 divisors, whose sum is σ = 313419882124800. Its totient is φ = 29734630668288.

The previous prime is 114510250141993. The next prime is 114510250142017. The reversal of 114510250142010 is 10241052015411.

114510250142010 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 102 + 501 + 42 + 0 + 10 = 666.

It is a super-2 number, since 2×114510250142010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114510250142017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5631733804 + ... + 5631754136.

It is an arithmetic number, because the mean of its divisors is an integer number (1224296414550).

Almost surely, 2^{114510250142010} is an apocalyptic number.

114510250142010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114510250142010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156709941062400).

114510250142010 is an abundant number, since it is smaller than the sum of its proper divisors (198909631982790).

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

114510250142010 is a wasteful number, since it uses less digits than its factorization.

114510250142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21854 (or 21848 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 114510250142010 in words is "one hundred fourteen trillion, five hundred ten billion, two hundred fifty million, one hundred forty-two thousand, ten".