114112457000 has 128 divisors (see below), whose sum is σ = 279755873280. Its totient is φ = 43512480000.

The previous prime is 114112456987. The next prime is 114112457003. The reversal of 114112457000 is 754211411.

It is not an unprimeable number, because it can be changed into a prime (114112457003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2049530 + ... + 2104470.

It is an arithmetic number, because the mean of its divisors is an integer number (2185592760).

Almost surely, 2^114112457000 is an apocalyptic number.

114112457000 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 114112457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139877936640).

114112457000 is an abundant number, since it is smaller than the sum of its proper divisors (165643416280).

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

114112457000 is a wasteful number, since it uses less digits than its factorization.

114112457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55060 (or 55046 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 114112457000 its reverse (754211411), we get a palindrome (114866668411).

The spelling of 114112457000 in words is "one hundred fourteen billion, one hundred twelve million, four hundred fifty-seven thousand".