3132147456 has 108 divisors (see below), whose sum is σ = 9562093632. Its totient is φ = 982622208.

The previous prime is 3132147451. The next prime is 3132147503. The reversal of 3132147456 is 6547412313.

3132147456 is a `hidden beast` number, since 3 + 132 + 1 + 474 + 56 = 666.

It is a super-2 number, since 2×3132147456² = 19620695372254543872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3132147456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132147451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816 + ... + 79151.

It is an arithmetic number, because the mean of its divisors is an integer number (88537904).

Almost surely, 2^3132147456 is an apocalyptic number.

3132147456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781046816).

3132147456 is an abundant number, since it is smaller than the sum of its proper divisors (6429946176).

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

3132147456 is a wasteful number, since it uses less digits than its factorization.

3132147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80006 (or 79989 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3132147456 is about 55965.5917149100. The cubic root of 3132147456 is about 1463.1226490970.

Adding to 3132147456 its reverse (6547412313), we get a palindrome (9679559769).

The spelling of 3132147456 in words is "three billion, one hundred thirty-two million, one hundred forty-seven thousand, four hundred fifty-six".