32464253264041 has 16 divisors (see below), whose sum is σ = 33071284976400. Its totient is φ = 31859646612480.

The previous prime is 32464253263963. The next prime is 32464253264083. The reversal of 32464253264041 is 14046235246423.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4595145289641 + 27869107974400 = 2143629^2 + 5279120^2 .

It is a cyclic number.

It is not a de Polignac number, because 32464253264041 - 2⁹ = 32464253263529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32464253263982 and 32464253264000.

It is not an unprimeable number, because it can be changed into a prime (32464253864041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418590135 + ... + 418667683.

It is an arithmetic number, because the mean of its divisors is an integer number (2066955311025).

Almost surely, 2^{32464253264041} is an apocalyptic number.

It is an amenable number.

32464253264041 is a deficient number, since it is larger than the sum of its proper divisors (607031712359).

32464253264041 is a wasteful number, since it uses less digits than its factorization.

32464253264041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93084.

The product of its (nonzero) digits is 3317760, while the sum is 46.

The spelling of 32464253264041 in words is "thirty-two trillion, four hundred sixty-four billion, two hundred fifty-three million, two hundred sixty-four thousand, forty-one".