32144772372496 has 405 divisors, whose sum is σ = 79078012165719. Its totient is φ = 12618704738304.

The previous prime is 32144772372491. The next prime is 32144772372509. The reversal of 32144772372496 is 69427327744123.

The square root of 32144772372496 is 5669636.

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

It can be written as a sum of positive squares in 4 ways, for example, as 122754932496 + 32022017440000 = 350364^2 + 5658800^2 .

It is not an unprimeable number, because it can be changed into a prime (32144772372491) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 116046109510 + ... + 116046109786.

Almost surely, 2^{32144772372496} is an apocalyptic number.

32144772372496 is the 5669636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32144772372496

32144772372496 is an abundant number, since it is smaller than the sum of its proper divisors (46933239793223).

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

32144772372496 is an equidigital number, since it uses as much as digits as its factorization.

32144772372496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 346 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 61.

The spelling of 32144772372496 in words is "thirty-two trillion, one hundred forty-four billion, seven hundred seventy-two million, three hundred seventy-two thousand, four hundred ninety-six".