161817586334208 has 640 divisors, whose sum is σ = 552038450135040. Its totient is φ = 45843832258560.

The previous prime is 161817586334189. The next prime is 161817586334273. The reversal of 161817586334208 is 802433685718161.

It is a happy number.

161817586334208 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 1 + 7 + 586 + 3 + 3 + 42 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 37003790710 + ... + 37003795082.

It is an arithmetic number, because the mean of its divisors is an integer number (862560078336).

Almost surely, 2^{161817586334208} is an apocalyptic number.

161817586334208 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 161817586334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276019225067520).

161817586334208 is an abundant number, since it is smaller than the sum of its proper divisors (390220863800832).

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

161817586334208 is a wasteful number, since it uses less digits than its factorization.

161817586334208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 161817586334208 in words is "one hundred sixty-one trillion, eight hundred seventeen billion, five hundred eighty-six million, three hundred thirty-four thousand, two hundred eight".