851363713234944 has 2304 divisors, whose sum is σ = 3270010151116800. Its totient is φ = 216710774784000.

The previous prime is 851363713234921. The next prime is 851363713234997. The reversal of 851363713234944 is 449432317363158.

851363713234944 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 6 + 3 + 7 + 132 + 3 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×851363713234944² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 531769963744 + ... + 531769965344.

It is an arithmetic number, because the mean of its divisors is an integer number (1419275239200).

Almost surely, 2^{851363713234944} is an apocalyptic number.

851363713234944 is a gapful number since it is divisible by the number (84) 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 851363713234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635005075558400).

851363713234944 is an abundant number, since it is smaller than the sum of its proper divisors (2418646437881856).

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

851363713234944 is a wasteful number, since it uses less digits than its factorization.

851363713234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2144 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 851363713234944 in words is "eight hundred fifty-one trillion, three hundred sixty-three billion, seven hundred thirteen million, two hundred thirty-four thousand, nine hundred forty-four".