21182274048 has 320 divisors, whose sum is σ = 62827978752. Its totient is φ = 6301532160.

The previous prime is 21182274019. The next prime is 21182274049. The reversal of 21182274048 is 84047228112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 21182273997 and 21182274015.

It is not an unprimeable number, because it can be changed into a prime (21182274049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94987665 + ... + 94987887.

Almost surely, 2^21182274048 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 21182274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31413989376).

21182274048 is an abundant number, since it is smaller than the sum of its proper divisors (41645704704).

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

21182274048 is a wasteful number, since it uses less digits than its factorization.

21182274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 21182274048 in words is "twenty-one billion, one hundred eighty-two million, two hundred seventy-four thousand, forty-eight".