21337645545216 has 1944 divisors, whose sum is σ = 89005643475840. Its totient is φ = 4845754368000.

The previous prime is 21337645545163. The next prime is 21337645545221. The reversal of 21337645545216 is 61254554673312.

21337645545216 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 64 + 5 + 54 + 521 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3987596941 + ... + 3987602291.

Almost surely, 2^{21337645545216} is an apocalyptic number.

21337645545216 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 21337645545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44502821737920).

21337645545216 is an abundant number, since it is smaller than the sum of its proper divisors (67667997930624).

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

21337645545216 is a wasteful number, since it uses less digits than its factorization.

21337645545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5406 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 21337645545216 in words is "twenty-one trillion, three hundred thirty-seven billion, six hundred forty-five million, five hundred forty-five thousand, two hundred sixteen".