1813145472 has 288 divisors, whose sum is σ = 5781784320. Its totient is φ = 564350976.

The previous prime is 1813145459. The next prime is 1813145479. The reversal of 1813145472 is 2745413181.

1813145472 is a `hidden beast` number, since 1 + 8 + 131 + 454 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813145479) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14276673 + ... + 14276799.

It is an arithmetic number, because the mean of its divisors is an integer number (20075640).

Almost surely, 2^1813145472 is an apocalyptic number.

1813145472 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 1813145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890892160).

1813145472 is an abundant number, since it is smaller than the sum of its proper divisors (3968638848).

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

1813145472 is an frugal number, since it uses more digits than its factorization.

1813145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1813145472 is about 42581.0459242137. The cubic root of 1813145472 is about 1219.3944571722.

The spelling of 1813145472 in words is "one billion, eight hundred thirteen million, one hundred forty-five thousand, four hundred seventy-two".