114335440000 has 160 divisors (see below), whose sum is σ = 293818947840. Its totient is φ = 44257920000.

The previous prime is 114335439983. The next prime is 114335440007. The reversal of 114335440000 is 44533411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (114335440007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2456949 + ... + 2503051.

It is an arithmetic number, because the mean of its divisors is an integer number (1836368424).

Almost surely, 2^114335440000 is an apocalyptic number.

114335440000 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 114335440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146909473920).

114335440000 is an abundant number, since it is smaller than the sum of its proper divisors (179483507840).

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

114335440000 is an frugal number, since it uses more digits than its factorization.

114335440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46168 (or 46141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 114335440000 its reverse (44533411), we get a palindrome (114379973411).

The spelling of 114335440000 in words is "one hundred fourteen billion, three hundred thirty-five million, four hundred forty thousand".