21333267914112 has 384 divisors, whose sum is σ = 79371258220800. Its totient is φ = 5541107927040.

The previous prime is 21333267914089. The next prime is 21333267914143. The reversal of 21333267914112 is 21141976233312.

21333267914112 is a `hidden beast` number, since 2 + 1 + 333 + 267 + 9 + 1 + 41 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058687 + ... + 6848702.

It is an arithmetic number, because the mean of its divisors is an integer number (206695984950).

Almost surely, 2^{21333267914112} is an apocalyptic number.

21333267914112 is a gapful number since it is divisible by the number (22) 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 21333267914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39685629110400).

21333267914112 is an abundant number, since it is smaller than the sum of its proper divisors (58037990306688).

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

21333267914112 is an equidigital number, since it uses as much as digits as its factorization.

21333267914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907436 (or 8907412 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 21333267914112 in words is "twenty-one trillion, three hundred thirty-three billion, two hundred sixty-seven million, nine hundred fourteen thousand, one hundred twelve".