1818381600 has 432 divisors, whose sum is σ = 7417650240. Its totient is φ = 410572800.

The previous prime is 1818381563. The next prime is 1818381779. The reversal of 1818381600 is 61838181.

1818381600 is a `hidden beast` number, since 1 + 8 + 18 + 38 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5493435 + ... + 5493765.

Almost surely, 2^1818381600 is an apocalyptic number.

1818381600 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 1818381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708825120).

1818381600 is an abundant number, since it is smaller than the sum of its proper divisors (5599268640).

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

1818381600 is a wasteful number, since it uses less digits than its factorization.

1818381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1818381600 is about 42642.4858562444. The cubic root of 1818381600 is about 1220.5671465018.

The spelling of 1818381600 in words is "one billion, eight hundred eighteen million, three hundred eighty-one thousand, six hundred".