18046828800 has 1296 divisors, whose sum is σ = 86907020928. Its totient is φ = 3450470400.

The previous prime is 18046828763. The next prime is 18046828801. The reversal of 18046828800 is 882864081.

It is a happy number.

18046828800 is a `hidden beast` number, since 180 + 468 + 2 + 8 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18046828801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57657444 + ... + 57657756.

Almost surely, 2^18046828800 is an apocalyptic number.

18046828800 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 18046828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43453510464).

18046828800 is an abundant number, since it is smaller than the sum of its proper divisors (68860192128).

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

18046828800 is a wasteful number, since it uses less digits than its factorization.

18046828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 18046828800 in words is "eighteen billion, forty-six million, eight hundred twenty-eight thousand, eight hundred".