20312851147776 has 616 divisors, whose sum is σ = 70322861597904. Its totient is φ = 5793286717440.

The previous prime is 20312851147703. The next prime is 20312851147819. The reversal of 20312851147776 is 67774115821302.

20312851147776 is a `hidden beast` number, since 2 + 0 + 3 + 12 + 8 + 511 + 47 + 7 + 76 = 666.

It is a super-2 number, since 2×20312851147776² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 139521996 + ... + 139667508.

Almost surely, 2^{20312851147776} 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 20312851147776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35161430798952).

20312851147776 is an abundant number, since it is smaller than the sum of its proper divisors (50010010450128).

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

20312851147776 is a wasteful number, since it uses less digits than its factorization.

20312851147776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145579 (or 145546 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 20312851147776 in words is "twenty trillion, three hundred twelve billion, eight hundred fifty-one million, one hundred forty-seven thousand, seven hundred seventy-six".