161168627233440 has 1152 divisors, whose sum is σ = 603275954561280. Its totient is φ = 39021019398144.

The previous prime is 161168627233303. The next prime is 161168627233477. The reversal of 161168627233440 is 44332726861161.

161168627233440 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 8 + 627 + 2 + 3 + 3 + 4 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59936267616 + ... + 59936270304.

It is an arithmetic number, because the mean of its divisors is an integer number (523677043890).

Almost surely, 2^{161168627233440} is an apocalyptic number.

161168627233440 is a gapful number since it is divisible by the number (10) 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 161168627233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301637977280640).

161168627233440 is an abundant number, since it is smaller than the sum of its proper divisors (442107327327840).

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

161168627233440 is a wasteful number, since it uses less digits than its factorization.

161168627233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 161168627233440 in words is "one hundred sixty-one trillion, one hundred sixty-eight billion, six hundred twenty-seven million, two hundred thirty-three thousand, four hundred forty".