21214036536624 has 160 divisors (see below), whose sum is σ = 61078660160000. Its totient is φ = 7049693419776.

The previous prime is 21214036536617. The next prime is 21214036536677. The reversal of 21214036536624 is 42663563041212.

21214036536624 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 0 + 3 + 6 + 5 + 3 + 6 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21214036536624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006968939 + ... + 1006990005.

It is an arithmetic number, because the mean of its divisors is an integer number (381741626000).

Almost surely, 2^{21214036536624} is an apocalyptic number.

21214036536624 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 21214036536624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30539330080000).

21214036536624 is an abundant number, since it is smaller than the sum of its proper divisors (39864623623376).

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

21214036536624 is a wasteful number, since it uses less digits than its factorization.

21214036536624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28112 (or 28100 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 21214036536624 its reverse (42663563041212), we get a palindrome (63877599577836).

The spelling of 21214036536624 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-six thousand, six hundred twenty-four".