314351666900 has 36 divisors (see below), whose sum is σ = 682718053248. Its totient is φ = 125634687840.

The previous prime is 314351666813. The next prime is 314351666947. The reversal of 314351666900 is 9666153413.

It is a super-2 number, since 2×314351666900² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1205444 + ... + 1442843.

It is an arithmetic number, because the mean of its divisors is an integer number (18964390368).

Almost surely, 2^314351666900 is an apocalyptic number.

It is an amenable number.

314351666900 is an abundant number, since it is smaller than the sum of its proper divisors (368366386348).

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

314351666900 is a wasteful number, since it uses less digits than its factorization.

314351666900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649488 (or 2649481 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 314351666900 in words is "three hundred fourteen billion, three hundred fifty-one million, six hundred sixty-six thousand, nine hundred".