8638738416 has 180 divisors, whose sum is σ = 30680618904. Its totient is φ = 2243808000.

The previous prime is 8638738403. The next prime is 8638738447. The reversal of 8638738416 is 6148378368.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21966 + ... + 133266.

Almost surely, 2^8638738416 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 8638738416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340309452).

8638738416 is an abundant number, since it is smaller than the sum of its proper divisors (22041880488).

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

8638738416 is a wasteful number, since it uses less digits than its factorization.

8638738416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111340 (or 111324 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 8638738416 is about 92944.8138198146. The cubic root of 8638738416 is about 2051.8712571554.

The spelling of 8638738416 in words is "eight billion, six hundred thirty-eight million, seven hundred thirty-eight thousand, four hundred sixteen".