114188085704064 has 256 divisors, whose sum is σ = 306593927884800. Its totient is φ = 37653002649600.

The previous prime is 114188085704029. The next prime is 114188085704083. The reversal of 114188085704064 is 460407580881411.

It is a super-2 number, since 2×114188085704064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114188085703995 and 114188085704013.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27994135177 + ... + 27994139255.

It is an arithmetic number, because the mean of its divisors is an integer number (1197632530800).

Almost surely, 2^{114188085704064} 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 114188085704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153296963942400).

114188085704064 is an abundant number, since it is smaller than the sum of its proper divisors (192405842180736).

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

114188085704064 is a wasteful number, since it uses less digits than its factorization.

114188085704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 114188085704064 in words is "one hundred fourteen trillion, one hundred eighty-eight billion, eighty-five million, seven hundred four thousand, sixty-four".