114334315000 has 160 divisors (see below), whose sum is σ = 276202586880. Its totient is φ = 44332592000.

The previous prime is 114334314973. The next prime is 114334315003. The reversal of 114334315000 is 513433411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114334315003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25142727 + ... + 25147273.

It is an arithmetic number, because the mean of its divisors is an integer number (1726266168).

Almost surely, 2^114334315000 is an apocalyptic number.

114334315000 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 114334315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138101293440).

114334315000 is an abundant number, since it is smaller than the sum of its proper divisors (161868271880).

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

114334315000 is a wasteful number, since it uses less digits than its factorization.

114334315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 114334315000 its reverse (513433411), we get a palindrome (114847748411).

The spelling of 114334315000 in words is "one hundred fourteen billion, three hundred thirty-four million, three hundred fifteen thousand".