22335132006936 has 640 divisors, whose sum is σ = 75246879375360. Its totient is φ = 6055589548800.

The previous prime is 22335132006923. The next prime is 22335132007007. The reversal of 22335132006936 is 63960023153322.

22335132006936 is a `hidden beast` number, since 2 + 2 + 3 + 351 + 3 + 200 + 6 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22335132006891 and 22335132006900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2100938341 + ... + 2100948971.

It is an arithmetic number, because the mean of its divisors is an integer number (117573249024).

Almost surely, 2^{22335132006936} 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 22335132006936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37623439687680).

22335132006936 is an abundant number, since it is smaller than the sum of its proper divisors (52911747368424).

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

22335132006936 is a wasteful number, since it uses less digits than its factorization.

22335132006936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 22335132006936 in words is "twenty-two trillion, three hundred thirty-five billion, one hundred thirty-two million, six thousand, nine hundred thirty-six".