18481651200 has 480 divisors, whose sum is σ = 69185080800. Its totient is φ = 4830658560.

The previous prime is 18481651159. The next prime is 18481651231. The reversal of 18481651200 is 215618481.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×18481651200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18316296 + ... + 18317304.

It is an arithmetic number, because the mean of its divisors is an integer number (144135585).

Almost surely, 2^18481651200 is an apocalyptic number.

18481651200 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 18481651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34592540400).

18481651200 is an abundant number, since it is smaller than the sum of its proper divisors (50703429600).

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

18481651200 is a wasteful number, since it uses less digits than its factorization.

18481651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 18481651200 in words is "eighteen billion, four hundred eighty-one million, six hundred fifty-one thousand, two hundred".