20345031315216 has 120 divisors (see below), whose sum is σ = 57506822267544. Its totient is φ = 6713918668800.

The previous prime is 20345031315209. The next prime is 20345031315223. The reversal of 20345031315216 is 61251313054302.

20345031315216 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 503 + 131 + 5 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (20345031315209) and next prime (20345031315223).

It can be written as a sum of positive squares in 4 ways, for example, as 4913333292816 + 15431698022400 = 2216604^2 + 3928320^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 175880950 + ... + 175996586.

Almost surely, 2^{20345031315216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20345031315216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753411133772).

20345031315216 is an abundant number, since it is smaller than the sum of its proper divisors (37161790952328).

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

20345031315216 is a wasteful number, since it uses less digits than its factorization.

20345031315216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127849 (or 127840 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 20345031315216 its reverse (61251313054302), we get a palindrome (81596344369518).

The spelling of 20345031315216 in words is "twenty trillion, three hundred forty-five billion, thirty-one million, three hundred fifteen thousand, two hundred sixteen".