8461581607584 has 144 divisors (see below), whose sum is σ = 28518664120128. Its totient is φ = 2417594729472.

The previous prime is 8461581607561. The next prime is 8461581607627. The reversal of 8461581607584 is 4857061851648.

It is a happy number.

8461581607584 is a `hidden beast` number, since 8 + 4 + 6 + 15 + 8 + 1 + 607 + 5 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 77671737 + ... + 77780600.

It is an arithmetic number, because the mean of its divisors is an integer number (198046278612).

Almost surely, 2^{8461581607584} is an apocalyptic number.

8461581607584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8461581607584 is an abundant number, since it is smaller than the sum of its proper divisors (20057082512544).

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

8461581607584 is a wasteful number, since it uses less digits than its factorization.

8461581607584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155452369 (or 155452349 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 8461581607584 in words is "eight trillion, four hundred sixty-one billion, five hundred eighty-one million, six hundred seven thousand, five hundred eighty-four".