1811582667648 has 768 divisors, whose sum is σ = 6009835104000. Its totient is φ = 519202897920.

The previous prime is 1811582667623. The next prime is 1811582667649. The reversal of 1811582667648 is 8467662851181.

It is a happy number.

1811582667648 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 582 + 6 + 6 + 7 + 6 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811582667649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6446913268 + ... + 6446913548.

It is an arithmetic number, because the mean of its divisors is an integer number (7825306125).

Almost surely, 2^{1811582667648} is an apocalyptic number.

1811582667648 is a gapful number since it is divisible by the number (18) 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 1811582667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004917552000).

1811582667648 is an abundant number, since it is smaller than the sum of its proper divisors (4198252436352).

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

1811582667648 is a wasteful number, since it uses less digits than its factorization.

1811582667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 1811582667648 in words is "one trillion, eight hundred eleven billion, five hundred eighty-two million, six hundred sixty-seven thousand, six hundred forty-eight".