21448253736 has 480 divisors, whose sum is σ = 75994776000. Its totient is φ = 5646775680.

The previous prime is 21448253713. The next prime is 21448253741. The reversal of 21448253736 is 63735284412.

21448253736 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 82 + 537 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21448253691 and 21448253700.

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, 37562331 + ... + 37562901.

It is an arithmetic number, because the mean of its divisors is an integer number (158322450).

Almost surely, 2^21448253736 is an apocalyptic number.

21448253736 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 21448253736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997388000).

21448253736 is an abundant number, since it is smaller than the sum of its proper divisors (54546522264).

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

21448253736 is a wasteful number, since it uses less digits than its factorization.

21448253736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 596 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 21448253736 in words is "twenty-one billion, four hundred forty-eight million, two hundred fifty-three thousand, seven hundred thirty-six".