114345431010 has 192 divisors, whose sum is σ = 307614827520. Its totient is φ = 29451945600.

The previous prime is 114345431003. The next prime is 114345431041. The reversal of 114345431010 is 10134543411.

114345431010 is a `hidden beast` number, since 1 + 1 + 4 + 345 + 4 + 310 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244850797 + ... + 244851263.

It is an arithmetic number, because the mean of its divisors is an integer number (1602160560).

Almost surely, 2^114345431010 is an apocalyptic number.

114345431010 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 114345431010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153807413760).

114345431010 is an abundant number, since it is smaller than the sum of its proper divisors (193269396510).

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

114345431010 is a wasteful number, since it uses less digits than its factorization.

114345431010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 114345431010 its reverse (10134543411), we get a palindrome (124479974421).

The spelling of 114345431010 in words is "one hundred fourteen billion, three hundred forty-five million, four hundred thirty-one thousand, ten".