8140531636224 has 768 divisors, whose sum is σ = 27210193920000. Its totient is φ = 2387311460352.

The previous prime is 8140531636201. The next prime is 8140531636241. The reversal of 8140531636224 is 4226361350418.

8140531636224 is a `hidden beast` number, since 8 + 1 + 4 + 0 + 5 + 3 + 1 + 636 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 8140531636224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1646878297 + ... + 1646883239.

It is an arithmetic number, because the mean of its divisors is an integer number (35429940000).

Almost surely, 2^{8140531636224} 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 8140531636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605096960000).

8140531636224 is an abundant number, since it is smaller than the sum of its proper divisors (19069662283776).

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

8140531636224 is a wasteful number, since it uses less digits than its factorization.

8140531636224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 8140531636224 in words is "eight trillion, one hundred forty billion, five hundred thirty-one million, six hundred thirty-six thousand, two hundred twenty-four".