314511324960 has 768 divisors, whose sum is σ = 1201483100160. Its totient is φ = 67662397440.

The previous prime is 314511324823. The next prime is 314511324971. The reversal of 314511324960 is 69423115413.

It is a super-3 number, since 3×314511324960³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508095531 + ... + 508096149.

It is an arithmetic number, because the mean of its divisors is an integer number (1564431120).

Almost surely, 2^314511324960 is an apocalyptic number.

314511324960 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 314511324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600741550080).

314511324960 is an abundant number, since it is smaller than the sum of its proper divisors (886971775200).

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

314511324960 is a wasteful number, since it uses less digits than its factorization.

314511324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 314511324960 in words is "three hundred fourteen billion, five hundred eleven million, three hundred twenty-four thousand, nine hundred sixty".