114000514400 has 144 divisors (see below), whose sum is σ = 280332057600. Its totient is φ = 45269199360.

The previous prime is 114000514399. The next prime is 114000514427. The reversal of 114000514400 is 4415000411.

It is a super-2 number, since 2×114000514400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80112089 + ... + 80113511.

It is an arithmetic number, because the mean of its divisors is an integer number (1946750400).

Almost surely, 2^114000514400 is an apocalyptic number.

114000514400 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 114000514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140166028800).

114000514400 is an abundant number, since it is smaller than the sum of its proper divisors (166331543200).

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

114000514400 is a wasteful number, since it uses less digits than its factorization.

114000514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 114000514400 its reverse (4415000411), we get a palindrome (118415514811).

The spelling of 114000514400 in words is "one hundred fourteen billion, five hundred fourteen thousand, four hundred".