114214421000 has 64 divisors (see below), whose sum is σ = 267400252080. Its totient is φ = 45662092800.

The previous prime is 114214420981. The next prime is 114214421029. The reversal of 114214421000 is 124412411.

It can be written as a sum of positive squares in 8 ways, for example, as 1770894724 + 112443526276 = 42082^2 + 335326^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968404 + ... + 2025596.

Almost surely, 2^114214421000 is an apocalyptic number.

114214421000 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 114214421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133700126040).

114214421000 is an abundant number, since it is smaller than the sum of its proper divisors (153185831080).

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

114214421000 is a wasteful number, since it uses less digits than its factorization.

114214421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59211 (or 59197 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114214421000 its reverse (124412411), we get a palindrome (114338833411).

The spelling of 114214421000 in words is "one hundred fourteen billion, two hundred fourteen million, four hundred twenty-one thousand".