16264155961 has 9 divisors (see below), whose sum is σ = 16499449071. Its totient is φ = 16032177072.

The previous prime is 16264155931. The next prime is 16264156019. The reversal of 16264155961 is 16955146261.

It is a happy number.

The square root of 16264155961 is 127531.

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., 9232327225 + 7031828736 = 96085^2 + 83856^2 .

It is not a de Polignac number, because 16264155961 - 2⁹ = 16264155449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16264155931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9308890 + ... + 9310636.

It is an arithmetic number, because the mean of its divisors is an integer number (1833272119).

Almost surely, 2^16264155961 is an apocalyptic number.

16264155961 is the 127531-st square number.

16264155961 is the 63766-th centered octagonal number.

It is an amenable number.

16264155961 is a deficient number, since it is larger than the sum of its proper divisors (235293110).

16264155961 is an frugal number, since it uses more digits than its factorization.

16264155961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 1820 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

It can be divided in two parts, 16264 and 155961, that added together give a square (172225 = 415²).

The spelling of 16264155961 in words is "sixteen billion, two hundred sixty-four million, one hundred fifty-five thousand, nine hundred sixty-one".