64182135505041 has 24 divisors (see below), whose sum is σ = 92836000445760. Its totient is φ = 42728798369376.

The previous prime is 64182135504961. The next prime is 64182135505087. The reversal of 64182135505041 is 14050553128146.

64182135505041 is a `hidden beast` number, since 6 + 4 + 1 + 8 + 2 + 1 + 3 + 550 + 50 + 41 = 666.

It is not a de Polignac number, because 64182135505041 - 2⁷ = 64182135504913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64182135585041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461449990 + ... + 461589056.

It is an arithmetic number, because the mean of its divisors is an integer number (3868166685240).

Almost surely, 2^{64182135505041} is an apocalyptic number.

It is an amenable number.

64182135505041 is a deficient number, since it is larger than the sum of its proper divisors (28653864940719).

64182135505041 is a wasteful number, since it uses less digits than its factorization.

64182135505041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209765 (or 209762 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 64182135505041 in words is "sixty-four trillion, one hundred eighty-two billion, one hundred thirty-five million, five hundred five thousand, forty-one".