21334487616 has 280 divisors, whose sum is σ = 68891490360. Its totient is φ = 6488875008.

The previous prime is 21334487561. The next prime is 21334487621. The reversal of 21334487616 is 61678443312.

21334487616 is a `hidden beast` number, since 2 + 133 + 448 + 76 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 702038016 + 20632449600 = 26496^2 + 143640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5996110 + ... + 5999666.

It is an arithmetic number, because the mean of its divisors is an integer number (246041037).

Almost surely, 2^21334487616 is an apocalyptic number.

21334487616 is a gapful number since it is divisible by the number (26) 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 21334487616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34445745180).

21334487616 is an abundant number, since it is smaller than the sum of its proper divisors (47557002744).

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

21334487616 is a wasteful number, since it uses less digits than its factorization.

21334487616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3664 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 21334487616 in words is "twenty-one billion, three hundred thirty-four million, four hundred eighty-seven thousand, six hundred sixteen".