3783181189248 has 640 divisors, whose sum is σ = 11672520552000. Its totient is φ = 1215792488448.

The previous prime is 3783181189247. The next prime is 3783181189259. The reversal of 3783181189248 is 8429811813873.

3783181189248 is a `hidden beast` number, since 3 + 78 + 318 + 1 + 1 + 8 + 9 + 248 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3783181189247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13657693686 + ... + 13657693962.

Almost surely, 2^{3783181189248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783181189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836260276000).

3783181189248 is an abundant number, since it is smaller than the sum of its proper divisors (7889339362752).

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

3783181189248 is a wasteful number, since it uses less digits than its factorization.

3783181189248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 693 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 3783181189248 in words is "three trillion, seven hundred eighty-three billion, one hundred eighty-one million, one hundred eighty-nine thousand, two hundred forty-eight".