8284379271168 has 1664 divisors, whose sum is σ = 30923009187840. Its totient is φ = 1903385640960.

The previous prime is 8284379271143. The next prime is 8284379271169. The reversal of 8284379271168 is 8611729734828.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 8284379271099 and 8284379271108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8284379271169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49607061421 + ... + 49607061587.

Almost surely, 2^{8284379271168} is an apocalyptic number.

8284379271168 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 8284379271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461504593920).

8284379271168 is an abundant number, since it is smaller than the sum of its proper divisors (22638629916672).

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

8284379271168 is a wasteful number, since it uses less digits than its factorization.

8284379271168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 8284379271168 in words is "eight trillion, two hundred eighty-four billion, three hundred seventy-nine million, two hundred seventy-one thousand, one hundred sixty-eight".