114114402513432 has 96 divisors (see below), whose sum is σ = 309998717028000. Its totient is φ = 37922617608192.

The previous prime is 114114402513359. The next prime is 114114402513439. The reversal of 114114402513432 is 234315204411411.

114114402513432 is a `hidden beast` number, since 1 + 1 + 4 + 114 + 402 + 5 + 134 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114402513439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 146787013 + ... + 147562379.

It is an arithmetic number, because the mean of its divisors is an integer number (3229153302375).

Almost surely, 2^{114114402513432} is an apocalyptic number.

114114402513432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114114402513432 is an abundant number, since it is smaller than the sum of its proper divisors (195884314514568).

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

114114402513432 is a wasteful number, since it uses less digits than its factorization.

114114402513432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781585 (or 781578 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 114114402513432 its reverse (234315204411411), we get a palindrome (348429606924843).

The spelling of 114114402513432 in words is "one hundred fourteen trillion, one hundred fourteen billion, four hundred two million, five hundred thirteen thousand, four hundred thirty-two".