314266645256130 has 192 divisors, whose sum is σ = 943401718022400. Its totient is φ = 71095894617600.

The previous prime is 314266645256119. The next prime is 314266645256131. The reversal of 314266645256130 is 31652546662413.

It is not an unprimeable number, because it can be changed into a prime (314266645256131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178496956 + ... + 180248984.

It is an arithmetic number, because the mean of its divisors is an integer number (4913550614700).

Almost surely, 2^{314266645256130} is an apocalyptic number.

314266645256130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314266645256130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471700859011200).

314266645256130 is an abundant number, since it is smaller than the sum of its proper divisors (629135072766270).

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

314266645256130 is a wasteful number, since it uses less digits than its factorization.

314266645256130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754969 (or 1754966 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 314266645256130 in words is "three hundred fourteen trillion, two hundred sixty-six billion, six hundred forty-five million, two hundred fifty-six thousand, one hundred thirty".