1461123472 has 20 divisors (see below), whose sum is σ = 2928545820. Its totient is φ = 705369728.

The previous prime is 1461123467. The next prime is 1461123481. The reversal of 1461123472 is 2743211641.

It can be written as a sum of positive squares in 2 ways, for example, as 1131918736 + 329204736 = 33644^2 + 18144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1574023 + ... + 1574950.

It is an arithmetic number, because the mean of its divisors is an integer number (146427291).

Almost surely, 2^1461123472 is an apocalyptic number.

It is an amenable number.

1461123472 is an abundant number, since it is smaller than the sum of its proper divisors (1467422348).

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

1461123472 is a wasteful number, since it uses less digits than its factorization.

1461123472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149010 (or 3149004 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 1461123472 is about 38224.6448250340. The cubic root of 1461123472 is about 1134.7381056554.

It can be divided in two parts, 14611 and 23472, that added together give a palindrome (38083).

The spelling of 1461123472 in words is "one billion, four hundred sixty-one million, one hundred twenty-three thousand, four hundred seventy-two".