81298763426304 has 240 divisors, whose sum is σ = 235952110765800. Its totient is φ = 26947614670848.

The previous prime is 81298763426207. The next prime is 81298763426341. The reversal of 81298763426304 is 40362436789218.

81298763426304 is a `hidden beast` number, since 8 + 1 + 298 + 7 + 6 + 34 + 2 + 6 + 304 = 666.

81298763426304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 81151270560000 + 147492866304 = 9008400^2 + 384048^2 .

It is a super-2 number, since 2×81298763426304² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853635072 + ... + 853730304.

Almost surely, 2^{81298763426304} 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 81298763426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976055382900).

81298763426304 is an abundant number, since it is smaller than the sum of its proper divisors (154653347339496).

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

81298763426304 is a wasteful number, since it uses less digits than its factorization.

81298763426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96295 (or 96276 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 81298763426304 in words is "eighty-one trillion, two hundred ninety-eight billion, seven hundred sixty-three million, four hundred twenty-six thousand, three hundred four".