314456467248 has 720 divisors, whose sum is σ = 1176795180288. Its totient is φ = 78969945600.

The previous prime is 314456467211. The next prime is 314456467309. The reversal of 314456467248 is 842764654413.

314456467248 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 564 + 6 + 72 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 314456467194 and 314456467203.

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 143 ways as a sum of consecutive naturals, for example, 287699790 + ... + 287700882.

Almost surely, 2^314456467248 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 314456467248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588397590144).

314456467248 is an abundant number, since it is smaller than the sum of its proper divisors (862338713040).

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

314456467248 is a wasteful number, since it uses less digits than its factorization.

314456467248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1147 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 314456467248 in words is "three hundred fourteen billion, four hundred fifty-six million, four hundred sixty-seven thousand, two hundred forty-eight".