161363664 has 360 divisors, whose sum is σ = 600308800. Its totient is φ = 41912640.

The previous prime is 161363651. The next prime is 161363681. The reversal of 161363664 is 466363161.

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.

161363664 is a `hidden beast` number, since 1 + 6 + 13 + 636 + 6 + 4 = 666.

161363664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14669419 + ... + 14669429.

Almost surely, 2^161363664 is an apocalyptic number.

161363664 is a gapful number since it is divisible by the number (14) 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 161363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300154400).

161363664 is an abundant number, since it is smaller than the sum of its proper divisors (438945136).

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

161363664 is an equidigital number, since it uses as much as digits as its factorization.

161363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 161363664 is about 12702.8998264176. The cubic root of 161363664 is about 544.4214762797.

The spelling of 161363664 in words is "one hundred sixty-one million, three hundred sixty-three thousand, six hundred sixty-four".