161041640804352 has 4992 divisors, whose sum is σ = 674349172224000. Its totient is φ = 37924385587200.

The previous prime is 161041640804309. The next prime is 161041640804377. The reversal of 161041640804352 is 253408046140161.

161041640804352 is a `hidden beast` number, since 1 + 61 + 0 + 4 + 164 + 0 + 80 + 4 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 161041640804298 and 161041640804307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2640026898402 + ... + 2640026898462.

It is an arithmetic number, because the mean of its divisors is an integer number (135085972000).

Almost surely, 2^{161041640804352} is an apocalyptic number.

161041640804352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161041640804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337174586112000).

161041640804352 is an abundant number, since it is smaller than the sum of its proper divisors (513307531419648).

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

161041640804352 is an equidigital number, since it uses as much as digits as its factorization.

161041640804352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 161041640804352 in words is "one hundred sixty-one trillion, forty-one billion, six hundred forty million, eight hundred four thousand, three hundred fifty-two".