1472312865321 has 45 divisors (see below), whose sum is σ = 2278326934741. Its totient is φ = 947491788096.

The previous prime is 1472312865313. The next prime is 1472312865323. The reversal of 1472312865321 is 1235682132741.

The square root of 1472312865321 is 1213389.

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

1472312865321 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 31 + 2 + 86 + 532 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 557726669721 + 914586195600 = 746811^2 + 956340^2 .

It is not a de Polignac number, because 1472312865321 - 2³ = 1472312865313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1472312865323) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 316692205 + ... + 316696853.

Almost surely, 2^{1472312865321} is an apocalyptic number.

1472312865321 is the 1213389-th square number.

1472312865321 is the 606695-th centered octagonal number.

It is an amenable number.

1472312865321 is a deficient number, since it is larger than the sum of its proper divisors (806014069420).

1472312865321 is an frugal number, since it uses more digits than its factorization.

1472312865321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 4681 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 1472312865321 in words is "one trillion, four hundred seventy-two billion, three hundred twelve million, eight hundred sixty-five thousand, three hundred twenty-one".