114407802405 has 240 divisors, whose sum is σ = 231683094720. Its totient is φ = 53940556800.

The previous prime is 114407802361. The next prime is 114407802407. The reversal of 114407802405 is 504208704411.

It is a happy number.

114407802405 is a `hidden beast` number, since 1 + 1 + 4 + 407 + 8 + 0 + 240 + 5 = 666.

It is not a de Polignac number, because 114407802405 - 2²³ = 114399413797 is a prime.

It is a super-2 number, since 2×114407802405² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114407802405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114407802407) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 165568110 + ... + 165568800.

It is an arithmetic number, because the mean of its divisors is an integer number (965346228).

Almost surely, 2^114407802405 is an apocalyptic number.

114407802405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114407802405 is an abundant number, since it is smaller than the sum of its proper divisors (117275292315).

114407802405 is a wasteful number, since it uses less digits than its factorization.

114407802405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 114407802405 in words is "one hundred fourteen billion, four hundred seven million, eight hundred two thousand, four hundred five".