114140330304 has 672 divisors, whose sum is σ = 424057608576. Its totient is φ = 26615070720.

The previous prime is 114140330299. The next prime is 114140330321. The reversal of 114140330304 is 403033041411.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49776582 + ... + 49778874.

It is an arithmetic number, because the mean of its divisors is an integer number (631038108).

Almost surely, 2^114140330304 is an apocalyptic number.

114140330304 is a gapful number since it is divisible by the number (14) 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 114140330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212028804288).

114140330304 is an abundant number, since it is smaller than the sum of its proper divisors (309917278272).

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

114140330304 is a wasteful number, since it uses less digits than its factorization.

114140330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114140330304 its reverse (403033041411), we get a palindrome (517173371715).

It can be divided in two parts, 114140 and 330304, that added together give a palindrome (444444).

The spelling of 114140330304 in words is "one hundred fourteen billion, one hundred forty million, three hundred thirty thousand, three hundred four".