314606214540 has 144 divisors (see below), whose sum is σ = 991263585312. Its totient is φ = 83758219776.

The previous prime is 314606214511. The next prime is 314606214557. The reversal of 314606214540 is 45412606413.

314606214540 is a `hidden beast` number, since 3 + 1 + 4 + 606 + 2 + 1 + 4 + 5 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 314606214495 and 314606214504.

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, 2946162 + ... + 3051078.

It is an arithmetic number, because the mean of its divisors is an integer number (6883774898).

Almost surely, 2^314606214540 is an apocalyptic number.

314606214540 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 314606214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495631792656).

314606214540 is an abundant number, since it is smaller than the sum of its proper divisors (676657370772).

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

314606214540 is a wasteful number, since it uses less digits than its factorization.

314606214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105558 (or 105544 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 314606214540 in words is "three hundred fourteen billion, six hundred six million, two hundred fourteen thousand, five hundred forty".