1263163568128 has 624 divisors, whose sum is σ = 3370909199616. Its totient is φ = 459614453760.

The previous prime is 1263163568113. The next prime is 1263163568129. The reversal of 1263163568128 is 8218653613621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263163568129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11178438600 + ... + 11178438712.

Almost surely, 2^{1263163568128} 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 1263163568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685454599808).

1263163568128 is an abundant number, since it is smaller than the sum of its proper divisors (2107745631488).

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

1263163568128 is a wasteful number, since it uses less digits than its factorization.

1263163568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 223 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The spelling of 1263163568128 in words is "one trillion, two hundred sixty-three billion, one hundred sixty-three million, five hundred sixty-eight thousand, one hundred twenty-eight".