82674918144 has 432 divisors, whose sum is σ = 294737474304. Its totient is φ = 21703680000.

The previous prime is 82674918127. The next prime is 82674918223. The reversal of 82674918144 is 44181947628.

82674918144 is a `hidden beast` number, since 8 + 2 + 6 + 7 + 491 + 8 + 144 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52624879 + ... + 52626449.

It is an arithmetic number, because the mean of its divisors is an integer number (682262672).

Almost surely, 2^82674918144 is an apocalyptic number.

82674918144 is a gapful number since it is divisible by the number (84) 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 82674918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147368737152).

82674918144 is an abundant number, since it is smaller than the sum of its proper divisors (212062556160).

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

82674918144 is a wasteful number, since it uses less digits than its factorization.

82674918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1847 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 82674918144 in words is "eighty-two billion, six hundred seventy-four million, nine hundred eighteen thousand, one hundred forty-four".