18091046400 has 960 divisors, whose sum is σ = 74966487552. Its totient is φ = 3751280640.

The previous prime is 18091046377. The next prime is 18091046411. The reversal of 18091046400 is 464019081.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169075147 + ... + 169075253.

Almost surely, 2^18091046400 is an apocalyptic number.

18091046400 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 18091046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37483243776).

18091046400 is an abundant number, since it is smaller than the sum of its proper divisors (56875441152).

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

18091046400 is a wasteful number, since it uses less digits than its factorization.

18091046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 18091046400 in words is "eighteen billion, ninety-one million, forty-six thousand, four hundred".