114506421120 has 2048 divisors, whose sum is σ = 539578368000. Its totient is φ = 22574039040.

The previous prime is 114506421109. The next prime is 114506421163. The reversal of 114506421120 is 21124605411.

114506421120 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 642 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×114506421120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3693755505 + ... + 3693755535.

It is an arithmetic number, because the mean of its divisors is an integer number (263466000).

Almost surely, 2^114506421120 is an apocalyptic number.

114506421120 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 114506421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269789184000).

114506421120 is an abundant number, since it is smaller than the sum of its proper divisors (425071946880).

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

114506421120 is an equidigital number, since it uses as much as digits as its factorization.

114506421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 114506421120 in words is "one hundred fourteen billion, five hundred six million, four hundred twenty-one thousand, one hundred twenty".