15383688961 has 9 divisors (see below), whose sum is σ = 15899918979. Its totient is φ = 14883720000.

The previous prime is 15383688937. The next prime is 15383688967. The reversal of 15383688961 is 16988638351.

The square root of 15383688961 is 124031.

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., 616578561 + 14767110400 = 24831^2 + 121520^2 .

It is not a de Polignac number, because 15383688961 - 2⁷ = 15383688833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15383688896 and 15383688905.

It is not an unprimeable number, because it can be changed into a prime (15383688967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3842961 + ... + 3846961.

Almost surely, 2^15383688961 is an apocalyptic number.

15383688961 is the 124031-st square number.

15383688961 is the 62016-th centered octagonal number.

It is an amenable number.

15383688961 is a deficient number, since it is larger than the sum of its proper divisors (516230018).

15383688961 is an frugal number, since it uses more digits than its factorization.

15383688961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 4032 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 58.

The spelling of 15383688961 in words is "fifteen billion, three hundred eighty-three million, six hundred eighty-eight thousand, nine hundred sixty-one".