1813559473152 has 704 divisors, whose sum is σ = 6329216573440. Its totient is φ = 502146957312.

The previous prime is 1813559473139. The next prime is 1813559473177. The reversal of 1813559473152 is 2513749553181.

It is a happy number.

1813559473152 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 559 + 4 + 7 + 31 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315464943 + ... + 3315465489.

Almost surely, 2^{1813559473152} is an apocalyptic number.

1813559473152 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 1813559473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164608286720).

1813559473152 is an abundant number, since it is smaller than the sum of its proper divisors (4515657100288).

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

1813559473152 is a wasteful number, since it uses less digits than its factorization.

1813559473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1059 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 1813559473152 in words is "one trillion, eight hundred thirteen billion, five hundred fifty-nine million, four hundred seventy-three thousand, one hundred fifty-two".