314152048080 has 960 divisors, whose sum is σ = 1302936606720. Its totient is φ = 68912529408.

The previous prime is 314152048073. The next prime is 314152048129. The reversal of 314152048080 is 80840251413.

314152048080 is a `hidden beast` number, since 3 + 14 + 1 + 520 + 48 + 0 + 80 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 172326049 + ... + 172327871.

It is an arithmetic number, because the mean of its divisors is an integer number (1357225632).

Almost surely, 2^314152048080 is an apocalyptic number.

314152048080 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 314152048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651468303360).

314152048080 is an abundant number, since it is smaller than the sum of its proper divisors (988784558640).

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

314152048080 is a wasteful number, since it uses less digits than its factorization.

314152048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 314152048080 its reverse (80840251413), we get a palindrome (394992299493).

The spelling of 314152048080 in words is "three hundred fourteen billion, one hundred fifty-two million, forty-eight thousand, eighty".