15445766961 has 21 divisors (see below), whose sum is σ = 23163088809. Its totient is φ = 10294940916.

The previous prime is 15445766929. The next prime is 15445766981. The reversal of 15445766961 is 16966754451.

The square root of 15445766961 is 124281.

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

15445766961 is a `hidden beast` number, since 1 + 5 + 4 + 4 + 576 + 6 + 9 + 61 = 666.

15445766961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15445766961 - 2⁵ = 15445766929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15445766898 and 15445766907.

It is not an unprimeable number, because it can be changed into a prime (15445766981) 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 20 ways as a sum of consecutive naturals, for example, 3353286 + ... + 3357888.

It is an arithmetic number, because the mean of its divisors is an integer number (1103004229).

Almost surely, 2^15445766961 is an apocalyptic number.

15445766961 is the 124281-st square number.

15445766961 is the 62141-st centered octagonal number.

It is an amenable number.

15445766961 is a deficient number, since it is larger than the sum of its proper divisors (7717321848).

15445766961 is an frugal number, since it uses more digits than its factorization.

15445766961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224 (or 4606 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 15445766961 in words is "fifteen billion, four hundred forty-five million, seven hundred sixty-six thousand, nine hundred sixty-one".