83224164862656 has 336 divisors, whose sum is σ = 257478811814016. Its totient is φ = 25606498148352.

The previous prime is 83224164862651. The next prime is 83224164862687. The reversal of 83224164862656 is 65626846142238.

83224164862656 is a `hidden beast` number, since 8 + 322 + 4 + 1 + 6 + 48 + 6 + 265 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83224164862593 and 83224164862602.

It is not an unprimeable number, because it can be changed into a prime (83224164862651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148647115 + ... + 149205941.

Almost surely, 2^{83224164862656} 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 83224164862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128739405907008).

83224164862656 is an abundant number, since it is smaller than the sum of its proper divisors (174254646951360).

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

83224164862656 is a wasteful number, since it uses less digits than its factorization.

83224164862656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559156 (or 559143 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 83224164862656 in words is "eighty-three trillion, two hundred twenty-four billion, one hundred sixty-four million, eight hundred sixty-two thousand, six hundred fifty-six".