163935145040 has 40 divisors (see below), whose sum is σ = 381208387560. Its totient is φ = 65563877376.

The previous prime is 163935144959. The next prime is 163935145057. The reversal of 163935145040 is 40541539361.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60464842816 + 103470302224 = 245896^2 + 321668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370376 + ... + 681944.

It is an arithmetic number, because the mean of its divisors is an integer number (9530209689).

Almost surely, 2^163935145040 is an apocalyptic number.

163935145040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163935145040 is an abundant number, since it is smaller than the sum of its proper divisors (217273242520).

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

163935145040 is a wasteful number, since it uses less digits than its factorization.

163935145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318159 (or 318153 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 163935145040 in words is "one hundred sixty-three billion, nine hundred thirty-five million, one hundred forty-five thousand, forty".