21741483456 has 840 divisors, whose sum is σ = 84760929792. Its totient is φ = 5443200000.

The previous prime is 21741483427. The next prime is 21741483461. The reversal of 21741483456 is 65438414712.

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 119 ways as a sum of consecutive naturals, for example, 86619331 + ... + 86619581.

Almost surely, 2^21741483456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21741483456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42380464896).

21741483456 is an abundant number, since it is smaller than the sum of its proper divisors (63019446336).

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

21741483456 is a wasteful number, since it uses less digits than its factorization.

21741483456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 21741483456 in words is "twenty-one billion, seven hundred forty-one million, four hundred eighty-three thousand, four hundred fifty-six".