161643033000 has 320 divisors, whose sum is σ = 578825367120. Its totient is φ = 42052608000.

The previous prime is 161643032933. The next prime is 161643033001. The reversal of 161643033000 is 330346161.

161643033000 is a `hidden beast` number, since 1 + 616 + 43 + 0 + 3 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26238168324 + 135404864676 = 161982^2 + 367974^2 .

It is a super-2 number, since 2×161643033000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (161643033001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3296664 + ... + 3345336.

Almost surely, 2^161643033000 is an apocalyptic number.

161643033000 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 161643033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289412683560).

161643033000 is an abundant number, since it is smaller than the sum of its proper divisors (417182334120).

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

161643033000 is a wasteful number, since it uses less digits than its factorization.

161643033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48747 (or 48724 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 161643033000 its reverse (330346161), we get a palindrome (161973379161).

The spelling of 161643033000 in words is "one hundred sixty-one billion, six hundred forty-three million, thirty-three thousand".