1316114496 has 168 divisors, whose sum is σ = 3995420000. Its totient is φ = 413061120.

The previous prime is 1316114479. The next prime is 1316114507. The reversal of 1316114496 is 6944116131.

1316114496 is a `hidden beast` number, since 1 + 3 + 161 + 1 + 4 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1316114496.

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, 2637255 + ... + 2637753.

Almost surely, 2^1316114496 is an apocalyptic number.

1316114496 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 1316114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997710000).

1316114496 is an abundant number, since it is smaller than the sum of its proper divisors (2679305504).

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

1316114496 is a wasteful number, since it uses less digits than its factorization.

1316114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 764 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1316114496 is about 36278.2923523145. The cubic root of 1316114496 is about 1095.8839275376.

The spelling of 1316114496 in words is "one billion, three hundred sixteen million, one hundred fourteen thousand, four hundred ninety-six".