18345873600 has 336 divisors, whose sum is σ = 67131834240. Its totient is φ = 4873651200.

The previous prime is 18345873569. The next prime is 18345873619. The reversal of 18345873600 is 637854381.

18345873600 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 587 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14298559 + ... + 14299841.

Almost surely, 2^18345873600 is an apocalyptic number.

18345873600 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 18345873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33565917120).

18345873600 is an abundant number, since it is smaller than the sum of its proper divisors (48785960640).

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

18345873600 is a wasteful number, since it uses less digits than its factorization.

18345873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 18345873600 in words is "eighteen billion, three hundred forty-five million, eight hundred seventy-three thousand, six hundred".