82674891148608 has 224 divisors, whose sum is σ = 265980658101120. Its totient is φ = 24973963960320.

The previous prime is 82674891148589. The next prime is 82674891148639. The reversal of 82674891148608 is 80684119847628.

It is a happy number.

82674891148608 is a `hidden beast` number, since 8 + 2 + 6 + 7 + 4 + 8 + 9 + 1 + 1 + 4 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834841 + ... + 12885912.

Almost surely, 2^{82674891148608} is an apocalyptic number.

82674891148608 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 82674891148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132990329050560).

82674891148608 is an abundant number, since it is smaller than the sum of its proper divisors (183305766952512).

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

82674891148608 is a wasteful number, since it uses less digits than its factorization.

82674891148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721102 (or 13721086 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 82674891148608 in words is "eighty-two trillion, six hundred seventy-four billion, eight hundred ninety-one million, one hundred forty-eight thousand, six hundred eight".