1311378816 has 64 divisors (see below), whose sum is σ = 3800030400. Its totient is φ = 397386240.

The previous prime is 1311378743. The next prime is 1311378821. The reversal of 1311378816 is 6188731131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 151006 + ... + 159453.

It is an arithmetic number, because the mean of its divisors is an integer number (59375475).

Almost surely, 2^1311378816 is an apocalyptic number.

1311378816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311378816 is an abundant number, since it is smaller than the sum of its proper divisors (2488651584).

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

1311378816 is a wasteful number, since it uses less digits than its factorization.

1311378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310487 (or 310475 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 1311378816 is about 36212.9647502107. The cubic root of 1311378816 is about 1094.5679344564.

The spelling of 1311378816 in words is "one billion, three hundred eleven million, three hundred seventy-eight thousand, eight hundred sixteen".