314067080297520 has 480 divisors, whose sum is σ = 1155324788766720. Its totient is φ = 75827229603840.

The previous prime is 314067080297489. The next prime is 314067080297557. The reversal of 314067080297520 is 25792080760413.

It is a happy number.

314067080297520 is a `hidden beast` number, since 3 + 1 + 40 + 6 + 70 + 8 + 0 + 2 + 9 + 7 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2123967109 + ... + 2124114971.

It is an arithmetic number, because the mean of its divisors is an integer number (2406926643264).

It is a 1-persistent number, because it is pandigital, but 2⋅314067080297520 = 628134160595040 is not.

Almost surely, 2^{314067080297520} is an apocalyptic number.

314067080297520 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 314067080297520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577662394383360).

314067080297520 is an abundant number, since it is smaller than the sum of its proper divisors (841257708469200).

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

314067080297520 is a wasteful number, since it uses less digits than its factorization.

314067080297520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148985 (or 148976 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 314067080297520 in words is "three hundred fourteen trillion, sixty-seven billion, eighty million, two hundred ninety-seven thousand, five hundred twenty".