114102317406 has 256 divisors, whose sum is σ = 300987187200. Its totient is φ = 27960240000.

The previous prime is 114102317369. The next prime is 114102317411. The reversal of 114102317406 is 604713201411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454590781 + ... + 454591031.

It is an arithmetic number, because the mean of its divisors is an integer number (1175731200).

Almost surely, 2^114102317406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114102317406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150493593600).

114102317406 is an abundant number, since it is smaller than the sum of its proper divisors (186884869794).

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

114102317406 is a wasteful number, since it uses less digits than its factorization.

114102317406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 114102317406 its reverse (604713201411), we get a palindrome (718815518817).

The spelling of 114102317406 in words is "one hundred fourteen billion, one hundred two million, three hundred seventeen thousand, four hundred six".