83802723168 has 192 divisors, whose sum is σ = 231687412992. Its totient is φ = 26493143040.

The previous prime is 83802723163. The next prime is 83802723223. The reversal of 83802723168 is 86132720838.

It is a Cunningham number, because it is equal to 289487²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83802723163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30684363 + ... + 30687093.

It is an arithmetic number, because the mean of its divisors is an integer number (1206705276).

Almost surely, 2^83802723168 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 83802723168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115843706496).

83802723168 is an abundant number, since it is smaller than the sum of its proper divisors (147884689824).

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

83802723168 is a wasteful number, since it uses less digits than its factorization.

83802723168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 83802723168 in words is "eighty-three billion, eight hundred two million, seven hundred twenty-three thousand, one hundred sixty-eight".