314518311072 has 240 divisors, whose sum is σ = 1058819332032. Its totient is φ = 89718865920.

The previous prime is 314518311067. The next prime is 314518311077. The reversal of 314518311072 is 270113815413.

314518311072 is a `hidden beast` number, since 3 + 1 + 4 + 518 + 31 + 107 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (314518311067) and next prime (314518311077).

It is a super-3 number, since 3×314518311072³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (314518311077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11616783 + ... + 11643825.

Almost surely, 2^314518311072 is an apocalyptic number.

314518311072 is a gapful number since it is divisible by the number (32) 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 314518311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529409666016).

314518311072 is an abundant number, since it is smaller than the sum of its proper divisors (744301020960).

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

314518311072 is a wasteful number, since it uses less digits than its factorization.

314518311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27713 (or 27696 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 314518311072 in words is "three hundred fourteen billion, five hundred eighteen million, three hundred eleven thousand, seventy-two".