163882013040738 has 160 divisors (see below), whose sum is σ = 372043649577600. Its totient is φ = 53911737513216.

The previous prime is 163882013040721. The next prime is 163882013040763. The reversal of 163882013040738 is 837040310288361.

It is a happy number.

163882013040738 is a `hidden beast` number, since 1 + 6 + 3 + 88 + 20 + 130 + 407 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36361660281 + ... + 36361664787.

It is an arithmetic number, because the mean of its divisors is an integer number (2325272809860).

Almost surely, 2^{163882013040738} is an apocalyptic number.

163882013040738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 163882013040738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186021824788800).

163882013040738 is an abundant number, since it is smaller than the sum of its proper divisors (208161636536862).

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

163882013040738 is a wasteful number, since it uses less digits than its factorization.

163882013040738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 163882013040738 in words is "one hundred sixty-three trillion, eight hundred eighty-two billion, thirteen million, forty thousand, seven hundred thirty-eight".