314871121152 has 540 divisors, whose sum is σ = 1156485787380. Its totient is φ = 84666580992.

The previous prime is 314871121141. The next prime is 314871121157. The reversal of 314871121152 is 251121178413.

It is a happy number.

314871121152 is a `hidden beast` number, since 3 + 1 + 487 + 1 + 1 + 21 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 294093628416 + 20777492736 = 542304^2 + 144144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314871121157) 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 59 ways as a sum of consecutive naturals, for example, 17263974 + ... + 17282202.

It is an arithmetic number, because the mean of its divisors is an integer number (2141640347).

Almost surely, 2^314871121152 is an apocalyptic number.

314871121152 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 314871121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578242893690).

314871121152 is an abundant number, since it is smaller than the sum of its proper divisors (841614666228).

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

314871121152 is a wasteful number, since it uses less digits than its factorization.

314871121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288 (or 18258 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

Adding to 314871121152 its reverse (251121178413), we get a palindrome (565992299565).

The spelling of 314871121152 in words is "three hundred fourteen billion, eight hundred seventy-one million, one hundred twenty-one thousand, one hundred fifty-two".