1682290636048 has 80 divisors (see below), whose sum is σ = 3643332436800. Its totient is φ = 745851545600.

The previous prime is 1682290635937. The next prime is 1682290636067. The reversal of 1682290636048 is 8406360922861.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1682290636048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33522111 + ... + 33572257.

It is an arithmetic number, because the mean of its divisors is an integer number (45541655460).

Almost surely, 2^{1682290636048} 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 1682290636048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821666218400).

1682290636048 is an abundant number, since it is smaller than the sum of its proper divisors (1961041800752).

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

1682290636048 is a wasteful number, since it uses less digits than its factorization.

1682290636048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54856 (or 54850 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 1682290636048 in words is "one trillion, six hundred eighty-two billion, two hundred ninety million, six hundred thirty-six thousand, forty-eight".