18190448640000 has 3000 divisors, whose sum is σ = 83927922692768. Its totient is φ = 3822059520000.

The previous prime is 18190448639963. The next prime is 18190448640041. The reversal of 18190448640000 is 4684409181.

18190448640000 is a `hidden beast` number, since 1 + 81 + 90 + 4 + 4 + 86 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3000).

It is a super-3 number, since 3×18190448640000³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 75479039880 + ... + 75479040120.

Almost surely, 2^{18190448640000} is an apocalyptic number.

18190448640000 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 18190448640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41963961346384).

18190448640000 is an abundant number, since it is smaller than the sum of its proper divisors (65737474052768).

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

18190448640000 is an frugal number, since it uses more digits than its factorization.

18190448640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18190448640000 in words is "eighteen trillion, one hundred ninety billion, four hundred forty-eight million, six hundred forty thousand".