114031134102204 has 288 divisors, whose sum is σ = 329364304109568. Its totient is φ = 32927368320000.

The previous prime is 114031134102199. The next prime is 114031134102271. The reversal of 114031134102204 is 402201431130411.

It is a happy number.

114031134102204 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 31 + 13 + 410 + 2 + 204 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9049365504 + ... + 9049378104.

It is an arithmetic number, because the mean of its divisors is an integer number (1143626055936).

Almost surely, 2^{114031134102204} 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 114031134102204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164682152054784).

114031134102204 is an abundant number, since it is smaller than the sum of its proper divisors (215333170007364).

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

114031134102204 is a wasteful number, since it uses less digits than its factorization.

114031134102204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16329 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114031134102204 its reverse (402201431130411), we get a palindrome (516232565232615).

The spelling of 114031134102204 in words is "one hundred fourteen trillion, thirty-one billion, one hundred thirty-four million, one hundred two thousand, two hundred four".