22816690138368 has 648 divisors, whose sum is σ = 81131433044480. Its totient is φ = 6034398289920.

The previous prime is 22816690138339. The next prime is 22816690138379. The reversal of 22816690138368 is 86383109661822.

It is a happy number.

22816690138368 is a `hidden beast` number, since 2 + 2 + 8 + 166 + 90 + 1 + 383 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264439938 + ... + 264526206.

Almost surely, 2^{22816690138368} is an apocalyptic number.

22816690138368 is a gapful number since it is divisible by the number (28) 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 22816690138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40565716522240).

22816690138368 is an abundant number, since it is smaller than the sum of its proper divisors (58314742906112).

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

22816690138368 is a wasteful number, since it uses less digits than its factorization.

22816690138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86375 (or 86335 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 22816690138368 in words is "twenty-two trillion, eight hundred sixteen billion, six hundred ninety million, one hundred thirty-eight thousand, three hundred sixty-eight".