161133624288 has 864 divisors, whose sum is σ = 613616290560. Its totient is φ = 39667138560.

The previous prime is 161133624283. The next prime is 161133624373. The reversal of 161133624288 is 882426331161.

161133624288 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 3 + 362 + 4 + 288 = 666.

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 (161133624283) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164926456 + ... + 164927432.

It is an arithmetic number, because the mean of its divisors is an integer number (710204040).

Almost surely, 2^161133624288 is an apocalyptic number.

161133624288 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 161133624288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306808145280).

161133624288 is an abundant number, since it is smaller than the sum of its proper divisors (452482666272).

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

161133624288 is a wasteful number, since it uses less digits than its factorization.

161133624288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 161133624288 in words is "one hundred sixty-one billion, one hundred thirty-three million, six hundred twenty-four thousand, two hundred eighty-eight".