8934049264144 has 135 divisors (see below), whose sum is σ = 18473031580647. Its totient is φ = 4185348380928.

The previous prime is 8934049264123. The next prime is 8934049264171. The reversal of 8934049264144 is 4414629404398.

It is a happy number.

The square root of 8934049264144 is 2988988.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2049512918544 + 6884536345600 = 1431612^2 + 2623840^2 .

It is a Duffinian number.

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, 14574305182 + ... + 14574305794.

Almost surely, 2^{8934049264144} is an apocalyptic number.

8934049264144 is the 2988988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8934049264144

8934049264144 is an abundant number, since it is smaller than the sum of its proper divisors (9538982316503).

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

8934049264144 is an frugal number, since it uses more digits than its factorization.

8934049264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 58.

The spelling of 8934049264144 in words is "eight trillion, nine hundred thirty-four billion, forty-nine million, two hundred sixty-four thousand, one hundred forty-four".