82648710144 has 1584 divisors, whose sum is σ = 351357167616. Its totient is φ = 18048614400.

The previous prime is 82648710139. The next prime is 82648710181. The reversal of 82648710144 is 44101784628.

82648710144 is a `hidden beast` number, since 8 + 26 + 487 + 1 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a self number, because there is not a number n which added to its sum of digits gives 82648710144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2666087409 + ... + 2666087439.

Almost surely, 2^82648710144 is an apocalyptic number.

82648710144 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 82648710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175678583808).

82648710144 is an abundant number, since it is smaller than the sum of its proper divisors (268708457472).

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

82648710144 is a wasteful number, since it uses less digits than its factorization.

82648710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 82648710144 in words is "eighty-two billion, six hundred forty-eight million, seven hundred ten thousand, one hundred forty-four".