314206126848 has 324 divisors, whose sum is σ = 969123355200. Its totient is φ = 97881980928.

The previous prime is 314206126789. The next prime is 314206126891. The reversal of 314206126848 is 848621602413.

314206126848 is a `hidden beast` number, since 3 + 1 + 4 + 20 + 612 + 6 + 8 + 4 + 8 = 666.

314206126848 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99210961 + ... + 99214127.

Almost surely, 2^314206126848 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 314206126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484561677600).

314206126848 is an abundant number, since it is smaller than the sum of its proper divisors (654917228352).

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

314206126848 is a wasteful number, since it uses less digits than its factorization.

314206126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 314206126848 in words is "three hundred fourteen billion, two hundred six million, one hundred twenty-six thousand, eight hundred forty-eight".