18949144320 has 576 divisors, whose sum is σ = 72524390400. Its totient is φ = 4671406080.

The previous prime is 18949144273. The next prime is 18949144339. The reversal of 18949144320 is 2344194981.

18949144320 is a `hidden beast` number, since 18 + 94 + 91 + 443 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24640896 + ... + 24641664.

It is an arithmetic number, because the mean of its divisors is an integer number (125910400).

Almost surely, 2^18949144320 is an apocalyptic number.

18949144320 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 18949144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36262195200).

18949144320 is an abundant number, since it is smaller than the sum of its proper divisors (53575246080).

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

18949144320 is a wasteful number, since it uses less digits than its factorization.

18949144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18949144320 in words is "eighteen billion, nine hundred forty-nine million, one hundred forty-four thousand, three hundred twenty".