1311377616 has 60 divisors (see below), whose sum is σ = 3698985472. Its totient is φ = 433677888.

The previous prime is 1311377609. The next prime is 1311377633. The reversal of 1311377616 is 6167731131.

It is a happy number.

1311377616 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 37 + 7 + 616 = 666.

It is a super-2 number, since 2×1311377616² = 3439422503491686912, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 17566 + ... + 54141.

Almost surely, 2^1311377616 is an apocalyptic number.

1311377616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311377616 is an abundant number, since it is smaller than the sum of its proper divisors (2387607856).

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

1311377616 is a wasteful number, since it uses less digits than its factorization.

1311377616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71848 (or 71839 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1311377616 is about 36212.9481815552. The cubic root of 1311377616 is about 1094.5676005885.

The spelling of 1311377616 in words is "one billion, three hundred eleven million, three hundred seventy-seven thousand, six hundred sixteen".