1813970909952 has 504 divisors, whose sum is σ = 5590413093440. Its totient is φ = 586925015040.

The previous prime is 1813970909951. The next prime is 1813970909963. The reversal of 1813970909952 is 2599090793181.

It is a self number, because there is not a number n which added to its sum of digits gives 1813970909952.

It is not an unprimeable number, because it can be changed into a prime (1813970909951) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 899340048 + ... + 899342064.

Almost surely, 2^{1813970909952} is an apocalyptic number.

1813970909952 is a gapful number since it is divisible by the number (12) 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 1813970909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795206546720).

1813970909952 is an abundant number, since it is smaller than the sum of its proper divisors (3776442183488).

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

1813970909952 is an frugal number, since it uses more digits than its factorization.

1813970909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 1813970909952 in words is "one trillion, eight hundred thirteen billion, nine hundred seventy million, nine hundred nine thousand, nine hundred fifty-two".