21433334832 has 640 divisors, whose sum is σ = 78714961920. Its totient is φ = 5502422016.

The previous prime is 21433334809. The next prime is 21433334873. The reversal of 21433334832 is 23843333412.

21433334832 is a `hidden beast` number, since 2 + 143 + 3 + 33 + 483 + 2 = 666.

It is a super-3 number, since 3×21433334832³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 168766353 + ... + 168766479.

It is an arithmetic number, because the mean of its divisors is an integer number (122992128).

Almost surely, 2^21433334832 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 21433334832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39357480960).

21433334832 is an abundant number, since it is smaller than the sum of its proper divisors (57281627088).

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

21433334832 is a wasteful number, since it uses less digits than its factorization.

21433334832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 21433334832 in words is "twenty-one billion, four hundred thirty-three million, three hundred thirty-four thousand, eight hundred thirty-two".