22016833152768 has 216 divisors, whose sum is σ = 63578072624976. Its totient is φ = 7327612108800.

The previous prime is 22016833152761. The next prime is 22016833152779. The reversal of 22016833152768 is 86725133861022.

22016833152768 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 6 + 83 + 31 + 527 + 6 + 8 = 666.

It is a super-2 number, since 2×22016833152768² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22016833152761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5678830446 + ... + 5678834322.

Almost surely, 2^{22016833152768} 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 22016833152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31789036312488).

22016833152768 is an abundant number, since it is smaller than the sum of its proper divisors (41561239472208).

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

22016833152768 is a wasteful number, since it uses less digits than its factorization.

22016833152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 22016833152768 in words is "twenty-two trillion, sixteen billion, eight hundred thirty-three million, one hundred fifty-two thousand, seven hundred sixty-eight".