314642400542112 has 48 divisors (see below), whose sum is σ = 854416863548640. Its totient is φ = 101264220863232.

The previous prime is 314642400542077. The next prime is 314642400542203. The reversal of 314642400542112 is 211245004246413.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56509049038 + ... + 56509054605.

It is an arithmetic number, because the mean of its divisors is an integer number (17800351323930).

Almost surely, 2^{314642400542112} is an apocalyptic number.

314642400542112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314642400542112 is an abundant number, since it is smaller than the sum of its proper divisors (539774463006528).

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

314642400542112 is a wasteful number, since it uses less digits than its factorization.

314642400542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113018103685 (or 113018103677 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 314642400542112 its reverse (211245004246413), we get a palindrome (525887404788525).

The spelling of 314642400542112 in words is "three hundred fourteen trillion, six hundred forty-two billion, four hundred million, five hundred forty-two thousand, one hundred twelve".