114612146220 has 432 divisors, whose sum is σ = 385915289760. Its totient is φ = 25382522880.

The previous prime is 114612146203. The next prime is 114612146221. The reversal of 114612146220 is 22641216411.

It is a super-2 number, since 2×114612146220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (114612146221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133736032 + ... + 133736888.

It is an arithmetic number, because the mean of its divisors is an integer number (893322430).

Almost surely, 2^114612146220 is an apocalyptic number.

114612146220 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 114612146220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192957644880).

114612146220 is an abundant number, since it is smaller than the sum of its proper divisors (271303143540).

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

114612146220 is a wasteful number, since it uses less digits than its factorization.

114612146220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 114612146220 in words is "one hundred fourteen billion, six hundred twelve million, one hundred forty-six thousand, two hundred twenty".