83484674566272 has 256 divisors, whose sum is σ = 281606248915200. Its totient is φ = 23851822546944.

The previous prime is 83484674566229. The next prime is 83484674566273. The reversal of 83484674566272 is 27266547648438.

83484674566272 is a `hidden beast` number, since 8 + 3 + 4 + 8 + 46 + 7 + 456 + 62 + 72 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 83484674566272.

It is not an unprimeable number, because it can be changed into a prime (83484674566273) 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 31 ways as a sum of consecutive naturals, for example, 813695008 + ... + 813797600.

It is an arithmetic number, because the mean of its divisors is an integer number (1100024409825).

Almost surely, 2^{83484674566272} 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 83484674566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140803124457600).

83484674566272 is an abundant number, since it is smaller than the sum of its proper divisors (198121574348928).

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

83484674566272 is a wasteful number, since it uses less digits than its factorization.

83484674566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136260 (or 136242 counting only the distinct ones).

The product of its digits is 2601123840, while the sum is 72.

The spelling of 83484674566272 in words is "eighty-three trillion, four hundred eighty-four billion, six hundred seventy-four million, five hundred sixty-six thousand, two hundred seventy-two".