161917747200 has 900 divisors, whose sum is σ = 654363543400. Its totient is φ = 39252787200.

The previous prime is 161917747183. The next prime is 161917747231. The reversal of 161917747200 is 2747719161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

161917747200 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 177 + 472 + 0 + 0 = 666.

161917747200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14719795195 + ... + 14719795205.

Almost surely, 2^161917747200 is an apocalyptic number.

161917747200 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 161917747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327181771700).

161917747200 is an abundant number, since it is smaller than the sum of its proper divisors (492445796200).

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

161917747200 is an frugal number, since it uses more digits than its factorization.

161917747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 161917747200 in words is "one hundred sixty-one billion, nine hundred seventeen million, seven hundred forty-seven thousand, two hundred".