8461187251344 has 135 divisors (see below), whose sum is σ = 23808137843763. Its totient is φ = 2805165210816.

The previous prime is 8461187251339. The next prime is 8461187251373. The reversal of 8461187251344 is 4431527811648.

It is a happy number.

The square root of 8461187251344 is 2908812.

It is a perfect power (a square), and thus also a powerful number.

8461187251344 is a `hidden beast` number, since 8 + 4 + 6 + 1 + 1 + 87 + 2 + 513 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7783980369 + ... + 7783981455.

Almost surely, 2^{8461187251344} is an apocalyptic number.

8461187251344 is the 2908812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8461187251344

8461187251344 is an abundant number, since it is smaller than the sum of its proper divisors (15346950592419).

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

8461187251344 is an equidigital number, since it uses as much as digits as its factorization.

8461187251344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 1315 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 8461187251344 in words is "eight trillion, four hundred sixty-one billion, one hundred eighty-seven million, two hundred fifty-one thousand, three hundred forty-four".