1263116576 has 144 divisors (see below), whose sum is σ = 2809416960. Its totient is φ = 557652480.

The previous prime is 1263116567. The next prime is 1263116593. The reversal of 1263116576 is 6756113621.

Its product of digits (45360) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15218231 + ... + 15218313.

It is an arithmetic number, because the mean of its divisors is an integer number (19509840).

Almost surely, 2^1263116576 is an apocalyptic number.

1263116576 is a gapful number since it is divisible by the number (16) 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 1263116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404708480).

1263116576 is an abundant number, since it is smaller than the sum of its proper divisors (1546300384).

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

1263116576 is a wasteful number, since it uses less digits than its factorization.

1263116576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 1263116576 is about 35540.3513769912. The cubic root of 1263116576 is about 1080.9720831783.

The spelling of 1263116576 in words is "one billion, two hundred sixty-three million, one hundred sixteen thousand, five hundred seventy-six".