181679447664 has 960 divisors, whose sum is σ = 652246253568. Its totient is φ = 48204979200.

The previous prime is 181679447657. The next prime is 181679447723. The reversal of 181679447664 is 466744976181.

181679447664 is a `hidden beast` number, since 1 + 8 + 16 + 7 + 94 + 476 + 64 = 666.

181679447664 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 2×181679447664² (a number of 23 digits) contains 22 as substring.

Its product of digits (48771072) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1430546769 + ... + 1430546895.

Almost surely, 2^181679447664 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 181679447664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326123126784).

181679447664 is an abundant number, since it is smaller than the sum of its proper divisors (470566805904).

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

181679447664 is a wasteful number, since it uses less digits than its factorization.

181679447664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 181679447664 in words is "one hundred eighty-one billion, six hundred seventy-nine million, four hundred forty-seven thousand, six hundred sixty-four".