314073648 has 360 divisors, whose sum is σ = 1141038080. Its totient is φ = 78693120.

The previous prime is 314073637. The next prime is 314073659. The reversal of 314073648 is 846370413.

314073648 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 7 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (314073637) and next prime (314073659).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10131393 + ... + 10131423.

Almost surely, 2^314073648 is an apocalyptic number.

314073648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314073648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570519040).

314073648 is an abundant number, since it is smaller than the sum of its proper divisors (826964432).

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

314073648 is a wasteful number, since it uses less digits than its factorization.

314073648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 314073648 is about 17722.1231233732. The cubic root of 314073648 is about 679.7415742345.

It can be divided in two parts, 314073 and 648, that added together give a square (314721 = 561²).

The spelling of 314073648 in words is "three hundred fourteen million, seventy-three thousand, six hundred forty-eight".