161791017024 has 448 divisors, whose sum is σ = 534879296000. Its totient is φ = 42276888576.

The previous prime is 161791016987. The next prime is 161791017071. The reversal of 161791017024 is 420710197161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463584402 + ... + 463584750.

It is an arithmetic number, because the mean of its divisors is an integer number (1193927000).

Almost surely, 2^161791017024 is an apocalyptic number.

161791017024 is a gapful number since it is divisible by the number (14) 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 161791017024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267439648000).

161791017024 is an abundant number, since it is smaller than the sum of its proper divisors (373088278976).

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

161791017024 is a wasteful number, since it uses less digits than its factorization.

161791017024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

It can be divided in two parts, 16179 and 1017024, that added together give a triangular number (1033203 = T₁₄₃₇).

The spelling of 161791017024 in words is "one hundred sixty-one billion, seven hundred ninety-one million, seventeen thousand, twenty-four".