124637947681 has 15 divisors (see below), whose sum is σ = 135088746351. Its totient is φ = 114995338848.

The previous prime is 124637947619. The next prime is 124637947703. The reversal of 124637947681 is 186749736421.

It is a happy number.

The square root of 124637947681 is 353041.

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

It can be written as a sum of positive squares in 7 ways, for example, as 102245818081 + 22392129600 = 319759^2 + 149640^2 .

It is not a de Polignac number, because 124637947681 - 2²⁷ = 124503729953 is a prime.

It is a super-2 number, since 2×124637947681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (124637947781) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 59662885 + ... + 59664973.

Almost surely, 2^124637947681 is an apocalyptic number.

124637947681 is the 353041-st square number.

124637947681 is the 176521-st centered octagonal number.

It is an amenable number.

124637947681 is a deficient number, since it is larger than the sum of its proper divisors (10450798670).

124637947681 is an frugal number, since it uses more digits than its factorization.

124637947681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 2102 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The spelling of 124637947681 in words is "one hundred twenty-four billion, six hundred thirty-seven million, nine hundred forty-seven thousand, six hundred eighty-one".