21874248219616 has 96 divisors (see below), whose sum is σ = 47178353577600. Its totient is φ = 9921602496000.

The previous prime is 21874248219611. The next prime is 21874248219739. The reversal of 21874248219616 is 61691284247812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21874248219611) 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, 79655475 + ... + 79929613.

It is an arithmetic number, because the mean of its divisors is an integer number (491441183100).

Almost surely, 2^{21874248219616} is an apocalyptic number.

21874248219616 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 21874248219616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23589176788800).

21874248219616 is an abundant number, since it is smaller than the sum of its proper divisors (25304105357984).

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

21874248219616 is a wasteful number, since it uses less digits than its factorization.

21874248219616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277472 (or 277464 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 61.

The spelling of 21874248219616 in words is "twenty-one trillion, eight hundred seventy-four billion, two hundred forty-eight million, two hundred nineteen thousand, six hundred sixteen".