21464283744 has 192 divisors, whose sum is σ = 66400750080. Its totient is φ = 6731112960.

The previous prime is 21464283739. The next prime is 21464283751. The reversal of 21464283744 is 44738246412.

21464283744 is a `hidden beast` number, since 214 + 6 + 428 + 3 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21464283744.

It is a congruent number.

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, 1203339 + ... + 1221045.

It is an arithmetic number, because the mean of its divisors is an integer number (345837240).

Almost surely, 2^21464283744 is an apocalyptic number.

21464283744 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 21464283744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33200375040).

21464283744 is an abundant number, since it is smaller than the sum of its proper divisors (44936466336).

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

21464283744 is a wasteful number, since it uses less digits than its factorization.

21464283744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17810 (or 17796 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 21464283744 in words is "twenty-one billion, four hundred sixty-four million, two hundred eighty-three thousand, seven hundred forty-four".