82449278496 has 288 divisors, whose sum is σ = 260434137600. Its totient is φ = 24582776832.

The previous prime is 82449278473. The next prime is 82449278507. The reversal of 82449278496 is 69487294428.

82449278496 is a `hidden beast` number, since 8 + 2 + 449 + 27 + 84 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 18122430 + ... + 18126978.

It is an arithmetic number, because the mean of its divisors is an integer number (904285200).

Almost surely, 2^82449278496 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 82449278496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130217068800).

82449278496 is an abundant number, since it is smaller than the sum of its proper divisors (177984859104).

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

82449278496 is a wasteful number, since it uses less digits than its factorization.

82449278496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4717 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 82449278496 in words is "eighty-two billion, four hundred forty-nine million, two hundred seventy-eight thousand, four hundred ninety-six".