1867313299968 has 240 divisors, whose sum is σ = 5587788697920. Its totient is φ = 599598784512.

The previous prime is 1867313299949. The next prime is 1867313300003. The reversal of 1867313299968 is 8699923137681.

1867313299968 is a `hidden beast` number, since 18 + 6 + 7 + 313 + 299 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1867313299896 and 1867313299905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59183205 + ... + 59214747.

It is an arithmetic number, because the mean of its divisors is an integer number (23282452908).

Almost surely, 2^{1867313299968} is an apocalyptic number.

1867313299968 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 1867313299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793894348960).

1867313299968 is an abundant number, since it is smaller than the sum of its proper divisors (3720475397952).

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

1867313299968 is a wasteful number, since it uses less digits than its factorization.

1867313299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32039 (or 32020 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 1867313299968 in words is "one trillion, eight hundred sixty-seven billion, three hundred thirteen million, two hundred ninety-nine thousand, nine hundred sixty-eight".