81474680808144 has 480 divisors, whose sum is σ = 273329994510720. Its totient is φ = 23018957291520.

The previous prime is 81474680808113. The next prime is 81474680808179. The reversal of 81474680808144 is 44180808647418.

81474680808144 is a `hidden beast` number, since 8 + 1 + 474 + 6 + 8 + 0 + 80 + 81 + 4 + 4 = 666.

81474680808144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×81474680808144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160234599 + ... + 160742265.

It is an arithmetic number, because the mean of its divisors is an integer number (569437488564).

Almost surely, 2^{81474680808144} 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 81474680808144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136664997255360).

81474680808144 is an abundant number, since it is smaller than the sum of its proper divisors (191855313702576).

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

81474680808144 is a wasteful number, since it uses less digits than its factorization.

81474680808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507796 (or 507743 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 81474680808144 in words is "eighty-one trillion, four hundred seventy-four billion, six hundred eighty million, eight hundred eight thousand, one hundred forty-four".