83288202816 has 224 divisors, whose sum is σ = 287175732480. Its totient is φ = 20673921024.

The previous prime is 83288202793. The next prime is 83288202827. The reversal of 83288202816 is 61820288238.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156820 + ... + 437228.

It is an arithmetic number, because the mean of its divisors is an integer number (1282034520).

Almost surely, 2^83288202816 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 83288202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143587866240).

83288202816 is an abundant number, since it is smaller than the sum of its proper divisors (203887529664).

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

83288202816 is a wasteful number, since it uses less digits than its factorization.

83288202816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280461 (or 280451 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 83288202816 in words is "eighty-three billion, two hundred eighty-eight million, two hundred two thousand, eight hundred sixteen".