18083268403200 has 4704 divisors, whose sum is σ = 91019487629952. Its totient is φ = 3468519014400.

The previous prime is 18083268403171. The next prime is 18083268403223. The reversal of 18083268403200 is 230486238081.

18083268403200 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 32 + 6 + 8 + 403 + 200 = 666.

It is a super-2 number, since 2×18083268403200² (a number of 27 digits) contains 22 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 335 ways as a sum of consecutive naturals, for example, 1391020646394 + ... + 1391020646406.

Almost surely, 2^{18083268403200} is an apocalyptic number.

18083268403200 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 18083268403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45509743814976).

18083268403200 is an abundant number, since it is smaller than the sum of its proper divisors (72936219226752).

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

18083268403200 is an frugal number, since it uses more digits than its factorization.

18083268403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18083268403200 in words is "eighteen trillion, eighty-three billion, two hundred sixty-eight million, four hundred three thousand, two hundred".