124093448361 has 27 divisors (see below), whose sum is σ = 186173523991. Its totient is φ = 82709943048.

The previous prime is 124093448293. The next prime is 124093448363. The reversal of 124093448361 is 163844390421.

The square root of 124093448361 is 352269.

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

124093448361 is a `hidden beast` number, since 1 + 24 + 0 + 93 + 4 + 483 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2780558361 + 121312890000 = 52731^2 + 348300^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 124093448361 - 2²⁵ = 124059893929 is a prime.

It is a super-2 number, since 2×124093448361² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124093448363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28531615 + ... + 28535963.

Almost surely, 2^124093448361 is an apocalyptic number.

124093448361 is the 352269-th square number.

124093448361 is the 176135-th centered octagonal number.

It is an amenable number.

124093448361 is a deficient number, since it is larger than the sum of its proper divisors (62080075630).

124093448361 is an frugal number, since it uses more digits than its factorization.

124093448361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 124093448361 in words is "one hundred twenty-four billion, ninety-three million, four hundred forty-eight thousand, three hundred sixty-one".