161038243086336 has 5400 divisors, whose sum is σ = 699351989545440. Its totient is φ = 36386006630400.

The previous prime is 161038243086283. The next prime is 161038243086349. The reversal of 161038243086336 is 633680342830161.

161038243086336 is a `hidden beast` number, since 1 + 61 + 0 + 3 + 8 + 243 + 0 + 8 + 6 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3927762026476 + ... + 3927762026516.

Almost surely, 2^{161038243086336} is an apocalyptic number.

161038243086336 is a gapful number since it is divisible by the number (16) 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 161038243086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349675994772720).

161038243086336 is an abundant number, since it is smaller than the sum of its proper divisors (538313746459104).

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

161038243086336 is a wasteful number, since it uses less digits than its factorization.

161038243086336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 161038243086336 in words is "one hundred sixty-one trillion, thirty-eight billion, two hundred forty-three million, eighty-six thousand, three hundred thirty-six".