1827891867648 has 416 divisors, whose sum is σ = 6085825454592. Its totient is φ = 474041548800.

The previous prime is 1827891867631. The next prime is 1827891867673. The reversal of 1827891867648 is 8467681987281.

It is a super-3 number, since 3×1827891867648³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1827891867648.

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, 890350590 + ... + 890352642.

It is an arithmetic number, because the mean of its divisors is an integer number (14629388112).

Almost surely, 2^{1827891867648} 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 1827891867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042912727296).

1827891867648 is an abundant number, since it is smaller than the sum of its proper divisors (4257933586944).

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

1827891867648 is a wasteful number, since it uses less digits than its factorization.

1827891867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3017 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 75.

The spelling of 1827891867648 in words is "one trillion, eight hundred twenty-seven billion, eight hundred ninety-one million, eight hundred sixty-seven thousand, six hundred forty-eight".