1867313849824 has 72 divisors (see below), whose sum is σ = 3864300351912. Its totient is φ = 888127637760.

The previous prime is 1867313849813. The next prime is 1867313849857. The reversal of 1867313849824 is 4289483137681.

It is a super-2 number, since 2×1867313849824² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2759247 + ... + 3368689.

It is an arithmetic number, because the mean of its divisors is an integer number (53670838221).

Almost surely, 2^{1867313849824} 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 1867313849824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932150175956).

1867313849824 is an abundant number, since it is smaller than the sum of its proper divisors (1996986502088).

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

1867313849824 is a wasteful number, since it uses less digits than its factorization.

1867313849824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609680 (or 609649 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 64.

The spelling of 1867313849824 in words is "one trillion, eight hundred sixty-seven billion, three hundred thirteen million, eight hundred forty-nine thousand, eight hundred twenty-four".