114304002004319 has 8 divisors (see below), whose sum is σ = 114373513776000. Its totient is φ = 114234511170456.

The previous prime is 114304002004307. The next prime is 114304002004349. The reversal of 114304002004319 is 913400200403411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114304002004319 is a prime.

It is a super-2 number, since 2×114304002004319² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114304002004349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5694224 + ... + 16156490.

It is an arithmetic number, because the mean of its divisors is an integer number (14296689222000).

Almost surely, 2^{114304002004319} is an apocalyptic number.

114304002004319 is a deficient number, since it is larger than the sum of its proper divisors (69511771681).

114304002004319 is a wasteful number, since it uses less digits than its factorization.

114304002004319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10468909.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 114304002004319 in words is "one hundred fourteen trillion, three hundred four billion, two million, four thousand, three hundred nineteen".