21334165333152 has 576 divisors, whose sum is σ = 69703798993920. Its totient is φ = 5680141479936.

The previous prime is 21334165333141. The next prime is 21334165333177. The reversal of 21334165333152 is 25133356143312.

It is a super-2 number, since 2×21334165333152² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1728436293 + ... + 1728448635.

It is an arithmetic number, because the mean of its divisors is an integer number (121013539920).

Almost surely, 2^{21334165333152} 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 21334165333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34851899496960).

21334165333152 is an abundant number, since it is smaller than the sum of its proper divisors (48369633660768).

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

21334165333152 is a wasteful number, since it uses less digits than its factorization.

21334165333152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12690 counting only the distinct ones).

The product of its digits is 583200, while the sum is 42.

The spelling of 21334165333152 in words is "twenty-one trillion, three hundred thirty-four billion, one hundred sixty-five million, three hundred thirty-three thousand, one hundred fifty-two".