32141632232448 has 1408 divisors, whose sum is σ = 105982914723840. Its totient is φ = 9589228830720.

The previous prime is 32141632232419. The next prime is 32141632232449. The reversal of 32141632232448 is 84423223614123.

It is a happy number.

32141632232448 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 632 + 2 + 3 + 2 + 4 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141632232449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104695870311 + ... + 104695870617.

It is an arithmetic number, because the mean of its divisors is an integer number (75271956480).

Almost surely, 2^{32141632232448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32141632232448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52991457361920).

32141632232448 is an abundant number, since it is smaller than the sum of its proper divisors (73841282491392).

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

32141632232448 is a wasteful number, since it uses less digits than its factorization.

32141632232448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 32141632232448 in words is "thirty-two trillion, one hundred forty-one billion, six hundred thirty-two million, two hundred thirty-two thousand, four hundred forty-eight".