114104314104 has 128 divisors (see below), whose sum is σ = 328154112000. Its totient is φ = 32699030400.

The previous prime is 114104314081. The next prime is 114104314139. The reversal of 114104314104 is 401413401411.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2844217 + ... + 2884055.

It is an arithmetic number, because the mean of its divisors is an integer number (2563704000).

Almost surely, 2^114104314104 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 114104314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164077056000).

114104314104 is an abundant number, since it is smaller than the sum of its proper divisors (214049797896).

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

114104314104 is a wasteful number, since it uses less digits than its factorization.

114104314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40449 (or 40445 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114104314104 its reverse (401413401411), we get a palindrome (515517715515).

The spelling of 114104314104 in words is "one hundred fourteen billion, one hundred four million, three hundred fourteen thousand, one hundred four".