314645012245344 has 192 divisors, whose sum is σ = 910086298894080. Its totient is φ = 94388801280000.

The previous prime is 314645012245313. The next prime is 314645012245357. The reversal of 314645012245344 is 443542210546413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 314645012245293 and 314645012245302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722803434 + ... + 723238614.

It is an arithmetic number, because the mean of its divisors is an integer number (4740032806740).

Almost surely, 2^{314645012245344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314645012245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455043149447040).

314645012245344 is an abundant number, since it is smaller than the sum of its proper divisors (595441286648736).

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

314645012245344 is a wasteful number, since it uses less digits than its factorization.

314645012245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442085 (or 442077 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 314645012245344 in words is "three hundred fourteen trillion, six hundred forty-five billion, twelve million, two hundred forty-five thousand, three hundred forty-four".