21364696067616 has 432 divisors, whose sum is σ = 69483927665880. Its totient is φ = 6214720512000.

The previous prime is 21364696067593. The next prime is 21364696067657. The reversal of 21364696067616 is 61676069646312.

21364696067616 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 6 + 9 + 6 + 0 + 6 + 7 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20562560883216 + 802135184400 = 4534596^2 + 895620^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174771316 + ... + 174893516.

Almost surely, 2^{21364696067616} 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 21364696067616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34741963832940).

21364696067616 is an abundant number, since it is smaller than the sum of its proper divisors (48119231598264).

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

21364696067616 is a wasteful number, since it uses less digits than its factorization.

21364696067616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122441 (or 122419 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 21364696067616 in words is "twenty-one trillion, three hundred sixty-four billion, six hundred ninety-six million, sixty-seven thousand, six hundred sixteen".