20312511314436 has 192 divisors, whose sum is σ = 57874497408000. Its totient is φ = 6109791863040.

The previous prime is 20312511314413. The next prime is 20312511314479. The reversal of 20312511314436 is 63441311521302.

20312511314436 is a `hidden beast` number, since 2 + 0 + 31 + 2 + 51 + 131 + 443 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20312511314436.

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 63 ways as a sum of consecutive naturals, for example, 1132301155 + ... + 1132319093.

It is an arithmetic number, because the mean of its divisors is an integer number (301429674000).

Almost surely, 2^{20312511314436} 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 20312511314436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28937248704000).

20312511314436 is an abundant number, since it is smaller than the sum of its proper divisors (37561986093564).

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

20312511314436 is a wasteful number, since it uses less digits than its factorization.

20312511314436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24959 (or 24951 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 20312511314436 its reverse (63441311521302), we get a palindrome (83753822835738).

The spelling of 20312511314436 in words is "twenty trillion, three hundred twelve billion, five hundred eleven million, three hundred fourteen thousand, four hundred thirty-six".