83474817888 has 720 divisors, whose sum is σ = 291773806128. Its totient is φ = 20863180800.

The previous prime is 83474817887. The next prime is 83474817973. The reversal of 83474817888 is 88871847438.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83474817887) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1143490620 + ... + 1143490692.

Almost surely, 2^83474817888 is an apocalyptic number.

83474817888 is a gapful number since it is divisible by the number (88) 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 83474817888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145886903064).

83474817888 is an abundant number, since it is smaller than the sum of its proper divisors (208298988240).

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

83474817888 is a wasteful number, since it uses less digits than its factorization.

83474817888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its digits is 77070336, while the sum is 66.

The spelling of 83474817888 in words is "eighty-three billion, four hundred seventy-four million, eight hundred seventeen thousand, eight hundred eighty-eight".