313663644 has 48 divisors (see below), whose sum is σ = 929376000. Its totient is φ = 89617968.

The previous prime is 313663643. The next prime is 313663657. The reversal of 313663644 is 446366313.

313663644 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 6 + 3 + 644 = 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 junction number, because it is equal to n+sod(n) for n = 313663599 and 313663608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313663643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 206694 + ... + 208205.

It is an arithmetic number, because the mean of its divisors is an integer number (19362000).

Almost surely, 2^313663644 is an apocalyptic number.

It is an amenable number.

313663644 is an abundant number, since it is smaller than the sum of its proper divisors (615712356).

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

313663644 is a wasteful number, since it uses less digits than its factorization.

313663644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414919 (or 414911 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 313663644 is about 17710.5517700607. The cubic root of 313663644 is about 679.4456583689.

The spelling of 313663644 in words is "three hundred thirteen million, six hundred sixty-three thousand, six hundred forty-four".