314264411600064 has 56 divisors (see below), whose sum is σ = 867643049429760. Its totient is φ = 100200247175424.

The previous prime is 314264411599997. The next prime is 314264411600099. The reversal of 314264411600064 is 460006114462413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314264411599989 and 314264411600025.

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, 35582469724 + ... + 35582478555.

Almost surely, 2^{314264411600064} is an apocalyptic number.

It is an amenable number.

314264411600064 is an abundant number, since it is smaller than the sum of its proper divisors (553378637829696).

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

314264411600064 is a wasteful number, since it uses less digits than its factorization.

314264411600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71164948317 (or 71164948307 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 314264411600064 in words is "three hundred fourteen trillion, two hundred sixty-four billion, four hundred eleven million, six hundred thousand, sixty-four".