18743120352 has 144 divisors (see below), whose sum is σ = 58883086080. Its totient is φ = 5607763200.

The previous prime is 18743120321. The next prime is 18743120401. The reversal of 18743120352 is 25302134781.

18743120352 is a `hidden beast` number, since 18 + 7 + 431 + 203 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 212827 + ... + 287717.

It is an arithmetic number, because the mean of its divisors is an integer number (408910320).

Almost surely, 2^18743120352 is an apocalyptic number.

18743120352 is a gapful number since it is divisible by the number (12) 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 18743120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29441543040).

18743120352 is an abundant number, since it is smaller than the sum of its proper divisors (40139965728).

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

18743120352 is a wasteful number, since it uses less digits than its factorization.

18743120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74997 (or 74986 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 18743120352 in words is "eighteen billion, seven hundred forty-three million, one hundred twenty thousand, three hundred fifty-two".