83673495220224 has 1664 divisors, whose sum is σ = 303151173599232. Its totient is φ = 19896792514560.

The previous prime is 83673495220057. The next prime is 83673495220363. The reversal of 83673495220224 is 42202259437638.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×83673495220224² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63054630249 + ... + 63054631575.

Almost surely, 2^{83673495220224} is an apocalyptic number.

83673495220224 is a gapful number since it is divisible by the number (84) 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 83673495220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151575586799616).

83673495220224 is an abundant number, since it is smaller than the sum of its proper divisors (219477678379008).

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

83673495220224 is a wasteful number, since it uses less digits than its factorization.

83673495220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 83673495220224 in words is "eighty-three trillion, six hundred seventy-three billion, four hundred ninety-five million, two hundred twenty thousand, two hundred twenty-four".