21242966472 has 384 divisors, whose sum is σ = 75163939200. Its totient is φ = 5508518400.

The previous prime is 21242966443. The next prime is 21242966519. The reversal of 21242966472 is 27466924212.

21242966472 is a `hidden beast` number, since 212 + 429 + 6 + 6 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×21242966472² (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 95 ways as a sum of consecutive naturals, for example, 8391847 + ... + 8394377.

It is an arithmetic number, because the mean of its divisors is an integer number (195739425).

Almost surely, 2^21242966472 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 21242966472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37581969600).

21242966472 is an abundant number, since it is smaller than the sum of its proper divisors (53920972728).

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

21242966472 is a wasteful number, since it uses less digits than its factorization.

21242966472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2617 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 21242966472 in words is "twenty-one billion, two hundred forty-two million, nine hundred sixty-six thousand, four hundred seventy-two".