81600631069104 has 960 divisors, whose sum is σ = 298594840707072. Its totient is φ = 21036331929600.

The previous prime is 81600631068973. The next prime is 81600631069127. The reversal of 81600631069104 is 40196013600618.

81600631069104 is a `hidden beast` number, since 8 + 1 + 6 + 0 + 0 + 631 + 0 + 6 + 9 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 81600631069104.

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 191 ways as a sum of consecutive naturals, for example, 1534656439 + ... + 1534709609.

Almost surely, 2^{81600631069104} is an apocalyptic number.

81600631069104 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 81600631069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149297420353536).

81600631069104 is an abundant number, since it is smaller than the sum of its proper divisors (216994209637968).

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

81600631069104 is a wasteful number, since it uses less digits than its factorization.

81600631069104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53356 (or 53338 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 81600631069104 in words is "eighty-one trillion, six hundred billion, six hundred thirty-one million, sixty-nine thousand, one hundred four".