18146928800 has 1152 divisors, whose sum is σ = 66523742208. Its totient is φ = 4644864000.

The previous prime is 18146928791. The next prime is 18146928829. The reversal of 18146928800 is 882964181.

It is a happy number.

It is a super-2 number, since 2×18146928800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 422021579 + ... + 422021621.

It is an arithmetic number, because the mean of its divisors is an integer number (57746304).

Almost surely, 2^18146928800 is an apocalyptic number.

18146928800 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 18146928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33261871104).

18146928800 is an abundant number, since it is smaller than the sum of its proper divisors (48376813408).

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

18146928800 is a wasteful number, since it uses less digits than its factorization.

18146928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 18146928800 in words is "eighteen billion, one hundred forty-six million, nine hundred twenty-eight thousand, eight hundred".