163874938000 has 40 divisors (see below), whose sum is σ = 396249604920. Its totient is φ = 65549974400.

The previous prime is 163874937991. The next prime is 163874938001. The reversal of 163874938000 is 839478361.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4118045584 + 159756892416 = 64172^2 + 399696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (163874938001) by changing a digit.

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, 40966735 + ... + 40970734.

It is an arithmetic number, because the mean of its divisors is an integer number (9906240123).

Almost surely, 2^163874938000 is an apocalyptic number.

163874938000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163874938000 is an abundant number, since it is smaller than the sum of its proper divisors (232374666920).

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

163874938000 is an equidigital number, since it uses as much as digits as its factorization.

163874938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81937492 (or 81937476 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 163874938000 in words is "one hundred sixty-three billion, eight hundred seventy-four million, nine hundred thirty-eight thousand".