1813394352 has 640 divisors, whose sum is σ = 6856704000. Its totient is φ = 406425600.

The previous prime is 1813394327. The next prime is 1813394381. The reversal of 1813394352 is 2534933181.

It is a happy number.

Its product of digits (77760) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 1813394352.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58496577 + ... + 58496607.

It is an arithmetic number, because the mean of its divisors is an integer number (10713600).

Almost surely, 2^1813394352 is an apocalyptic number.

1813394352 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 1813394352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428352000).

1813394352 is an abundant number, since it is smaller than the sum of its proper divisors (5043309648).

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

1813394352 is a wasteful number, since it uses less digits than its factorization.

1813394352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 1813394352 is about 42583.9682509745. The cubic root of 1813394352 is about 1219.4502476962.

The spelling of 1813394352 in words is "one billion, eight hundred thirteen million, three hundred ninety-four thousand, three hundred fifty-two".