21414274224 has 80 divisors (see below), whose sum is σ = 63319399680. Its totient is φ = 6109044480.

The previous prime is 21414274199. The next prime is 21414274249. The reversal of 21414274224 is 42247241412.

It is an interprime number because it is at equal distance from previous prime (21414274199) and next prime (21414274249).

It is a super-2 number, since 2×21414274224² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173887 + ... + 270305.

It is an arithmetic number, because the mean of its divisors is an integer number (791492496).

Almost surely, 2^21414274224 is an apocalyptic number.

21414274224 is a gapful number since it is divisible by the number (24) 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 21414274224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31659699840).

21414274224 is an abundant number, since it is smaller than the sum of its proper divisors (41905125456).

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

21414274224 is a wasteful number, since it uses less digits than its factorization.

21414274224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97098 (or 97092 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The spelling of 21414274224 in words is "twenty-one billion, four hundred fourteen million, two hundred seventy-four thousand, two hundred twenty-four".