314054208000 has 480 divisors, whose sum is σ = 1218206061072. Its totient is φ = 77303808000.

The previous prime is 314054207989. The next prime is 314054208007. The reversal of 314054208000 is 802450413.

314054208000 is a `hidden beast` number, since 3 + 1 + 40 + 542 + 0 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35422251264 + 278631956736 = 188208^2 + 527856^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (314054208007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7467030 + ... + 7508970.

Almost surely, 2^314054208000 is an apocalyptic number.

314054208000 is a gapful number since it is divisible by the number (30) 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 314054208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609103030536).

314054208000 is an abundant number, since it is smaller than the sum of its proper divisors (904151853072).

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

314054208000 is a wasteful number, since it uses less digits than its factorization.

314054208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41993 (or 41964 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 314054208000 its reverse (802450413), we get a palindrome (314856658413).

The spelling of 314054208000 in words is "three hundred fourteen billion, fifty-four million, two hundred eight thousand".