18813150720 has 800 divisors, whose sum is σ = 83015811648. Its totient is φ = 3965386752.

The previous prime is 18813150703. The next prime is 18813150749. The reversal of 18813150720 is 2705131881.

18813150720 is a `hidden beast` number, since 18 + 8 + 131 + 507 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869262 + ... + 18870258.

Almost surely, 2^18813150720 is an apocalyptic number.

18813150720 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 18813150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41507905824).

18813150720 is an abundant number, since it is smaller than the sum of its proper divisors (64202660928).

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

18813150720 is an equidigital number, since it uses as much as digits as its factorization.

18813150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 18813150720 in words is "eighteen billion, eight hundred thirteen million, one hundred fifty thousand, seven hundred twenty".