21334170624 has 352 divisors, whose sum is σ = 64308552000. Its totient is φ = 6279856128.

The previous prime is 21334170623. The next prime is 21334170631. The reversal of 21334170624 is 42607143312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21334170623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195726282 + ... + 195726390.

It is an arithmetic number, because the mean of its divisors is an integer number (182694750).

Almost surely, 2^21334170624 is an apocalyptic number.

21334170624 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 21334170624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32154276000).

21334170624 is an abundant number, since it is smaller than the sum of its proper divisors (42974381376).

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

21334170624 is a wasteful number, since it uses less digits than its factorization.

21334170624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 21334170624 in words is "twenty-one billion, three hundred thirty-four million, one hundred seventy thousand, six hundred twenty-four".