114331006610304 has 256 divisors, whose sum is σ = 341823871411200. Its totient is φ = 33561781493760.

The previous prime is 114331006610273. The next prime is 114331006610329. The reversal of 114331006610304 is 403016600133411.

It is a super-3 number, since 3×114331006610304³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14453622 + ... + 20918154.

It is an arithmetic number, because the mean of its divisors is an integer number (1335249497700).

Almost surely, 2^{114331006610304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114331006610304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170911935705600).

114331006610304 is an abundant number, since it is smaller than the sum of its proper divisors (227492864800896).

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

114331006610304 is a wasteful number, since it uses less digits than its factorization.

114331006610304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464693 (or 6464681 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 114331006610304 its reverse (403016600133411), we get a palindrome (517347606743715).

The spelling of 114331006610304 in words is "one hundred fourteen trillion, three hundred thirty-one billion, six million, six hundred ten thousand, three hundred four".