16265431296 has 81 divisors (see below), whose sum is σ = 46914905401. Its totient is φ = 5419769856.

The previous prime is 16265431291. The next prime is 16265431313. The reversal of 16265431296 is 69213456261.

The square root of 16265431296 is 127536.

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

16265431296 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 543 + 12 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10600761600 + 5664669696 = 102960^2 + 75264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16265431291) 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, 6120400 + ... + 6123056.

Almost surely, 2^16265431296 is an apocalyptic number.

16265431296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16265431296 is the 127536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16265431296

16265431296 is an abundant number, since it is smaller than the sum of its proper divisors (30649474105).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16265431296 is an frugal number, since it uses more digits than its factorization.

16265431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 2662 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

It can be divided in two parts, 16265 and 431296, that added together give a square (447561 = 669²).

The spelling of 16265431296 in words is "sixteen billion, two hundred sixty-five million, four hundred thirty-one thousand, two hundred ninety-six".