114039817739064 has 96 divisors (see below), whose sum is σ = 352984579540320. Its totient is φ = 32582418179328.

The previous prime is 114039817739041. The next prime is 114039817739069. The reversal of 114039817739064 is 460937718930411.

114039817739064 is a `hidden beast` number, since 1 + 1 + 40 + 3 + 9 + 81 + 77 + 390 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 114039817738992 and 114039817739010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114039817739069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42566802 + ... + 45166494.

It is an arithmetic number, because the mean of its divisors is an integer number (3676922703545).

Almost surely, 2^{114039817739064} is an apocalyptic number.

114039817739064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114039817739064 is an abundant number, since it is smaller than the sum of its proper divisors (238944761801256).

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

114039817739064 is a wasteful number, since it uses less digits than its factorization.

114039817739064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686749 (or 2686742 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 114039817739064 in words is "one hundred fourteen trillion, thirty-nine billion, eight hundred seventeen million, seven hundred thirty-nine thousand, sixty-four".