84633953066208 has 4608 divisors, whose sum is σ = 358679804313600. Its totient is φ = 18829758431232.

The previous prime is 84633953066203. The next prime is 84633953066239. The reversal of 84633953066208 is 80266035933648.

84633953066208 is a `hidden beast` number, since 8 + 4 + 6 + 3 + 39 + 530 + 6 + 62 + 0 + 8 = 666.

It is a super-2 number, since 2×84633953066208² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84633953066203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 872514980016 + ... + 872514980112.

It is an arithmetic number, because the mean of its divisors is an integer number (77838499200).

Almost surely, 2^{84633953066208} 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 84633953066208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179339902156800).

84633953066208 is an abundant number, since it is smaller than the sum of its proper divisors (274045851247392).

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

84633953066208 is a wasteful number, since it uses less digits than its factorization.

84633953066208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 84633953066208 in words is "eighty-four trillion, six hundred thirty-three billion, nine hundred fifty-three million, sixty-six thousand, two hundred eight".