1472128435969 has 27 divisors (see below), whose sum is σ = 1529216479867. Its totient is φ = 1417149584000.

The previous prime is 1472128435951. The next prime is 1472128435991. The reversal of 1472128435969 is 9695348212741.

The square root of 1472128435969 is 1213313.

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

It can be written as a sum of positive squares in 13 ways, for example, as 65323692225 + 1406804743744 = 255585^2 + 1186088^2 .

It is not a de Polignac number, because 1472128435969 - 2⁵ = 1472128435937 is a prime.

It is a super-2 number, since 2×1472128435969² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1472128435909) 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 26 ways as a sum of consecutive naturals, for example, 5024328987 + ... + 5024329279.

Almost surely, 2^{1472128435969} is an apocalyptic number.

1472128435969 is the 1213313-rd square number.

1472128435969 is the 606657-th centered octagonal number.

It is an amenable number.

1472128435969 is a deficient number, since it is larger than the sum of its proper divisors (57088043898).

1472128435969 is an frugal number, since it uses more digits than its factorization.

1472128435969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 435 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 1472128435969 in words is "one trillion, four hundred seventy-two billion, one hundred twenty-eight million, four hundred thirty-five thousand, nine hundred sixty-nine".