21160668546846 has 256 divisors, whose sum is σ = 51290748253440. Its totient is φ = 6522172876800.

The previous prime is 21160668546827. The next prime is 21160668546847. The reversal of 21160668546846 is 64864586606112.

21160668546846 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 0 + 6 + 6 + 8 + 546 + 84 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21160668546847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4812521920 + ... + 4812526316.

It is an arithmetic number, because the mean of its divisors is an integer number (200354485365).

Almost surely, 2^{21160668546846} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21160668546846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25645374126720).

21160668546846 is an abundant number, since it is smaller than the sum of its proper divisors (30130079706594).

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

21160668546846 is a wasteful number, since it uses less digits than its factorization.

21160668546846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 21160668546846 in words is "twenty-one trillion, one hundred sixty billion, six hundred sixty-eight million, five hundred forty-six thousand, eight hundred forty-six".