21714507252 has 144 divisors (see below), whose sum is σ = 59625493200. Its totient is φ = 6637522944.

The previous prime is 21714507251. The next prime is 21714507293. The reversal of 21714507252 is 25270541712.

21714507252 is a `hidden beast` number, since 21 + 71 + 450 + 72 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3401922276 + 18312584976 = 58326^2 + 135324^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21714507251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4830718 + ... + 4835210.

It is an arithmetic number, because the mean of its divisors is an integer number (414065925).

Almost surely, 2^21714507252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21714507252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29812746600).

21714507252 is an abundant number, since it is smaller than the sum of its proper divisors (37910985948).

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

21714507252 is a wasteful number, since it uses less digits than its factorization.

21714507252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 21714507252 in words is "twenty-one billion, seven hundred fourteen million, five hundred seven thousand, two hundred fifty-two".