21214446264 has 192 divisors, whose sum is σ = 65136314880. Its totient is φ = 6415200000.

The previous prime is 21214446247. The next prime is 21214446289. The reversal of 21214446264 is 46264441212.

21214446264 is a `hidden beast` number, since 2 + 1 + 21 + 4 + 4 + 4 + 626 + 4 = 666.

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

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16058724 + ... + 16060044.

It is an arithmetic number, because the mean of its divisors is an integer number (339251640).

Almost surely, 2^21214446264 is an apocalyptic number.

21214446264 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 21214446264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32568157440).

21214446264 is an abundant number, since it is smaller than the sum of its proper divisors (43921868616).

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

21214446264 is a wasteful number, since it uses less digits than its factorization.

21214446264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2088 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 21214446264 its reverse (46264441212), we get a palindrome (67478887476).

The spelling of 21214446264 in words is "twenty-one billion, two hundred fourteen million, four hundred forty-six thousand, two hundred sixty-four".