1311129456 has 240 divisors, whose sum is σ = 4287788064. Its totient is φ = 342171648.

The previous prime is 1311129439. The next prime is 1311129473. The reversal of 1311129456 is 6549211131.

It is an interprime number because it is at equal distance from previous prime (1311129439) and next prime (1311129473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4188756 + ... + 4189068.

Almost surely, 2^1311129456 is an apocalyptic number.

1311129456 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 1311129456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143894032).

1311129456 is an abundant number, since it is smaller than the sum of its proper divisors (2976658608).

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

1311129456 is a wasteful number, since it uses less digits than its factorization.

1311129456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 1311129456 is about 36209.5216207008. The cubic root of 1311129456 is about 1094.4985523275.

The spelling of 1311129456 in words is "one billion, three hundred eleven million, one hundred twenty-nine thousand, four hundred fifty-six".