314045300520 has 192 divisors, whose sum is σ = 1166774544000. Its totient is φ = 71762056704.

The previous prime is 314045300479. The next prime is 314045300531. The reversal of 314045300520 is 25003540413.

314045300520 is a `hidden beast` number, since 31 + 40 + 45 + 30 + 0 + 520 = 666.

It is a super-2 number, since 2×314045300520² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10415226 + ... + 10445334.

It is an arithmetic number, because the mean of its divisors is an integer number (6076950750).

Almost surely, 2^314045300520 is an apocalyptic number.

314045300520 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 314045300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583387272000).

314045300520 is an abundant number, since it is smaller than the sum of its proper divisors (852729243480).

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

314045300520 is a wasteful number, since it uses less digits than its factorization.

314045300520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34272 (or 34265 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 314045300520 its reverse (25003540413), we get a palindrome (339048840933).

The spelling of 314045300520 in words is "three hundred fourteen billion, forty-five million, three hundred thousand, five hundred twenty".