114008213422080 has 1344 divisors, whose sum is σ = 419653001322240. Its totient is φ = 29720334827520.

The previous prime is 114008213422073. The next prime is 114008213422099. The reversal of 114008213422080 is 80224312800411.

114008213422080 is a `hidden beast` number, since 1 + 1 + 400 + 8 + 2 + 1 + 3 + 42 + 208 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699436892079 + ... + 699436892241.

It is an arithmetic number, because the mean of its divisors is an integer number (312241816460).

Almost surely, 2^{114008213422080} is an apocalyptic number.

114008213422080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114008213422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209826500661120).

114008213422080 is an abundant number, since it is smaller than the sum of its proper divisors (305644787900160).

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

114008213422080 is an frugal number, since it uses more digits than its factorization.

114008213422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 114008213422080 in words is "one hundred fourteen trillion, eight billion, two hundred thirteen million, four hundred twenty-two thousand, eighty".