21733338700368 has 80 divisors (see below), whose sum is σ = 62873934223360. Its totient is φ = 7187403331584.

The previous prime is 21733338700331. The next prime is 21733338700379. The reversal of 21733338700368 is 86300783333712.

21733338700368 is a `hidden beast` number, since 2 + 173 + 3 + 33 + 87 + 0 + 0 + 368 = 666.

It is a super-3 number, since 3×21733338700368³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198010705 + ... + 198120432.

It is an arithmetic number, because the mean of its divisors is an integer number (785924177792).

Almost surely, 2^{21733338700368} is an apocalyptic number.

It is an amenable number.

21733338700368 is an abundant number, since it is smaller than the sum of its proper divisors (41140595522992).

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

21733338700368 is a wasteful number, since it uses less digits than its factorization.

21733338700368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396131281 (or 396131269 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 21733338700368 in words is "twenty-one trillion, seven hundred thirty-three billion, three hundred thirty-eight million, seven hundred thousand, three hundred sixty-eight".