1813271645120 has 224 divisors, whose sum is σ = 4819529299200. Its totient is φ = 645438357504.

The previous prime is 1813271645057. The next prime is 1813271645147. The reversal of 1813271645120 is 215461723181.

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, 16723241 + ... + 16831319.

It is an arithmetic number, because the mean of its divisors is an integer number (21515755800).

Almost surely, 2^{1813271645120} is an apocalyptic number.

1813271645120 is a gapful number since it is divisible by the number (10) 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 1813271645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409764649600).

1813271645120 is an abundant number, since it is smaller than the sum of its proper divisors (3006257654080).

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

1813271645120 is a wasteful number, since it uses less digits than its factorization.

1813271645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108255 (or 108245 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 1813271645120 in words is "one trillion, eight hundred thirteen billion, two hundred seventy-one million, six hundred forty-five thousand, one hundred twenty".