32045296144 has 15 divisors (see below), whose sum is σ = 62089148653. Its totient is φ = 16022290048.

The previous prime is 32045296141. The next prime is 32045296147. The reversal of 32045296144 is 44169254023.

It is a happy number.

The square root of 32045296144 is 179012.

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

It is an interprime number because it is at equal distance from previous prime (32045296141) and next prime (32045296147).

It can be written as a sum of positive squares in only one way, i.e., 10761987600 + 21283308544 = 103740^2 + 145888^2 .

It is a super-2 number, since 2×32045296144² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32045296097 and 32045296106.

It is not an unprimeable number, because it can be changed into a prime (32045296141) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 693672 + ... + 738424.

Almost surely, 2^32045296144 is an apocalyptic number.

32045296144 is the 179012-nd square number.

It is an amenable number.

32045296144 is a deficient number, since it is larger than the sum of its proper divisors (30043852509).

32045296144 is an frugal number, since it uses more digits than its factorization.

32045296144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89514 (or 44755 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 32045296144 in words is "thirty-two billion, forty-five million, two hundred ninety-six thousand, one hundred forty-four".