84181493468160 has 1584 divisors, whose sum is σ = 336780750099456. Its totient is φ = 19261587456000.

The previous prime is 84181493468113. The next prime is 84181493468203. The reversal of 84181493468160 is 6186439418148.

84181493468160 is a `hidden beast` number, since 8 + 4 + 1 + 8 + 1 + 4 + 9 + 3 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26414022087 + ... + 26414025273.

Almost surely, 2^{84181493468160} is an apocalyptic number.

84181493468160 is a gapful number since it is divisible by the number (80) 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 84181493468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168390375049728).

84181493468160 is an abundant number, since it is smaller than the sum of its proper divisors (252599256631296).

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

84181493468160 is a wasteful number, since it uses less digits than its factorization.

84181493468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 84181493468160 in words is "eighty-four trillion, one hundred eighty-one billion, four hundred ninety-three million, four hundred sixty-eight thousand, one hundred sixty".