21084741448704 has 704 divisors, whose sum is σ = 65764391500800. Its totient is φ = 6749637672960.

The previous prime is 21084741448703. The next prime is 21084741448763. The reversal of 21084741448704 is 40784414748012.

21084741448704 is a `hidden beast` number, since 2 + 1 + 0 + 84 + 74 + 14 + 487 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21084741448703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6546021814 + ... + 6546025034.

Almost surely, 2^{21084741448704} is an apocalyptic number.

21084741448704 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 21084741448704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32882195750400).

21084741448704 is an abundant number, since it is smaller than the sum of its proper divisors (44679650052096).

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

21084741448704 is an frugal number, since it uses more digits than its factorization.

21084741448704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 21084741448704 in words is "twenty-one trillion, eighty-four billion, seven hundred forty-one million, four hundred forty-eight thousand, seven hundred four".