21814905736 has 64 divisors (see below), whose sum is σ = 44758889280. Its totient is φ = 9906589440.

The previous prime is 21814905731. The next prime is 21814905737. The reversal of 21814905736 is 63750941812.

It is a super-2 number, since 2×21814905736² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21814905731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9621675 + ... + 9623941.

It is an arithmetic number, because the mean of its divisors is an integer number (699357645).

It is a 1-persistent number, because it is pandigital, but 2⋅21814905736 = 43629811472 is not.

Almost surely, 2^21814905736 is an apocalyptic number.

21814905736 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 21814905736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22379444640).

21814905736 is an abundant number, since it is smaller than the sum of its proper divisors (22943983544).

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

21814905736 is a wasteful number, since it uses less digits than its factorization.

21814905736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 21814905736 in words is "twenty-one billion, eight hundred fourteen million, nine hundred five thousand, seven hundred thirty-six".