20314146006 has 160 divisors (see below), whose sum is σ = 57169677312. Its totient is φ = 5237447040.

The previous prime is 20314145989. The next prime is 20314146079. The reversal of 20314146006 is 60064141302.

20314146006 is a `hidden beast` number, since 20 + 31 + 4 + 1 + 4 + 600 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1702995 + ... + 1714881.

Almost surely, 2^20314146006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314146006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28584838656).

20314146006 is an abundant number, since it is smaller than the sum of its proper divisors (36855531306).

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

20314146006 is a wasteful number, since it uses less digits than its factorization.

20314146006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20314146006 its reverse (60064141302), we get a palindrome (80378287308).

The spelling of 20314146006 in words is "twenty billion, three hundred fourteen million, one hundred forty-six thousand, six".