114614160000 has 320 divisors, whose sum is σ = 390745296480. Its totient is φ = 29735424000.

The previous prime is 114614159941. The next prime is 114614160007. The reversal of 114614160000 is 61416411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114614160007) 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, 8873547 + ... + 8886453.

Almost surely, 2^114614160000 is an apocalyptic number.

114614160000 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 114614160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195372648240).

114614160000 is an abundant number, since it is smaller than the sum of its proper divisors (276131136480).

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

114614160000 is an equidigital number, since it uses as much as digits as its factorization.

114614160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12981 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 114614160000 its reverse (61416411), we get a palindrome (114675576411).

The spelling of 114614160000 in words is "one hundred fourteen billion, six hundred fourteen million, one hundred sixty thousand".