83268404352 has 320 divisors, whose sum is σ = 292979332800. Its totient is φ = 22970013696.

The previous prime is 83268404339. The next prime is 83268404353. The reversal of 83268404352 is 25340486238.

It is a junction number, because it is equal to n+sod(n) for n = 83268404298 and 83268404307.

It is not an unprimeable number, because it can be changed into a prime (83268404353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2084923 + ... + 2124485.

It is an arithmetic number, because the mean of its divisors is an integer number (915560415).

Almost surely, 2^83268404352 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 83268404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146489666400).

83268404352 is an abundant number, since it is smaller than the sum of its proper divisors (209710928448).

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

83268404352 is a wasteful number, since it uses less digits than its factorization.

83268404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39625 (or 39604 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 83268404352 in words is "eighty-three billion, two hundred sixty-eight million, four hundred four thousand, three hundred fifty-two".