21414722065256 has 256 divisors, whose sum is σ = 45676141056000. Its totient is φ = 9344885760000.

The previous prime is 21414722065229. The next prime is 21414722065313. The reversal of 21414722065256 is 65256022741412.

It is a super-2 number, since 2×21414722065256² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21414722065256.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14459636036 + ... + 14459637516.

It is an arithmetic number, because the mean of its divisors is an integer number (178422426000).

Almost surely, 2^{21414722065256} is an apocalyptic number.

21414722065256 is a gapful number since it is divisible by the number (26) 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 21414722065256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838070528000).

21414722065256 is an abundant number, since it is smaller than the sum of its proper divisors (24261418990744).

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

21414722065256 is a wasteful number, since it uses less digits than its factorization.

21414722065256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 21414722065256 in words is "twenty-one trillion, four hundred fourteen billion, seven hundred twenty-two million, sixty-five thousand, two hundred fifty-six".