724709987401 has 9 divisors (see below), whose sum is σ = 757609548199. Its totient is φ = 693182128936.

The previous prime is 724709987389. The next prime is 724709987453. The reversal of 724709987401 is 104789907427.

The square root of 724709987401 is 851299.

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

It can be written as a sum of positive squares in only one way, i.e., 367436007225 + 357273980176 = 606165^2 + 597724^2 .

It is a de Polignac number, because none of the positive numbers 2^k-724709987401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (724709987101) 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 8 ways as a sum of consecutive naturals, for example, 19561371 + ... + 19598383.

Almost surely, 2^724709987401 is an apocalyptic number.

724709987401 is the 851299-th square number.

724709987401 is the 425650-th centered octagonal number.

It is an amenable number.

724709987401 is a deficient number, since it is larger than the sum of its proper divisors (32899560798).

724709987401 is an frugal number, since it uses more digits than its factorization.

724709987401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74072 (or 37036 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The spelling of 724709987401 in words is "seven hundred twenty-four billion, seven hundred nine million, nine hundred eighty-seven thousand, four hundred one".