314642605564032 has 64 divisors (see below), whose sum is σ = 835839261079200. Its totient is φ = 104872104280064.

The previous prime is 314642605564019. The next prime is 314642605564037. The reversal of 314642605564032 is 230465506246413.

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

It is a super-2 number, since 2×314642605564032² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314642605564037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29633238 + ... + 38825429.

Almost surely, 2^{314642605564032} is an apocalyptic number.

314642605564032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314642605564032 is an abundant number, since it is smaller than the sum of its proper divisors (521196655515168).

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

314642605564032 is a wasteful number, since it uses less digits than its factorization.

314642605564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68470653 (or 68470641 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 314642605564032 in words is "three hundred fourteen trillion, six hundred forty-two billion, six hundred five million, five hundred sixty-four thousand, thirty-two".