1393116144 has 40 divisors (see below), whose sum is σ = 4113010560. Its totient is φ = 398033088.

The previous prime is 1393116133. The next prime is 1393116167. The reversal of 1393116144 is 4416113931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2072754 + ... + 2073425.

It is an arithmetic number, because the mean of its divisors is an integer number (102825264).

Almost surely, 2^1393116144 is an apocalyptic number.

1393116144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1393116144 is an abundant number, since it is smaller than the sum of its proper divisors (2719894416).

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

1393116144 is a wasteful number, since it uses less digits than its factorization.

1393116144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146197 (or 4146191 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 1393116144 is about 37324.4711148062. The cubic root of 1393116144 is about 1116.8523825467.

The spelling of 1393116144 in words is "one billion, three hundred ninety-three million, one hundred sixteen thousand, one hundred forty-four".