161241429888 has 768 divisors, whose sum is σ = 602222100480. Its totient is φ = 40186368000.

The previous prime is 161241429883. The next prime is 161241429911. The reversal of 161241429888 is 888924142161.

161241429888 is a `hidden beast` number, since 1 + 61 + 2 + 414 + 2 + 98 + 88 = 666.

161241429888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161241429883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525216231 + ... + 525216537.

It is an arithmetic number, because the mean of its divisors is an integer number (784143360).

Almost surely, 2^161241429888 is an apocalyptic number.

161241429888 is a gapful number since it is divisible by the number (18) 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 161241429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301111050240).

161241429888 is an abundant number, since it is smaller than the sum of its proper divisors (440980670592).

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

161241429888 is a wasteful number, since it uses less digits than its factorization.

161241429888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 161241429888 in words is "one hundred sixty-one billion, two hundred forty-one million, four hundred twenty-nine thousand, eight hundred eighty-eight".