724151642841 has 81 divisors (see below), whose sum is σ = 1165413277119. Its totient is φ = 432974044800.

The previous prime is 724151642791. The next prime is 724151642873. The reversal of 724151642841 is 148246151427.

The square root of 724151642841 is 850971.

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

724151642841 is a `hidden beast` number, since 72 + 4 + 1 + 516 + 4 + 28 + 41 = 666.

724151642841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 544613004441 + 179538638400 = 737979^2 + 423720^2 .

It is not a de Polignac number, because 724151642841 - 2²⁷ = 724017425113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (724151644841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3004778481 + ... + 3004778721.

Almost surely, 2^724151642841 is an apocalyptic number.

724151642841 is the 850971-st square number.

724151642841 is the 425486-th centered octagonal number.

It is an amenable number.

724151642841 is a deficient number, since it is larger than the sum of its proper divisors (441261634278).

724151642841 is a wasteful number, since it uses less digits than its factorization.

724151642841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 724151642841 in words is "seven hundred twenty-four billion, one hundred fifty-one million, six hundred forty-two thousand, eight hundred forty-one".