161334691200 has 288 divisors, whose sum is σ = 576203355000. Its totient is φ = 42983424000.

The previous prime is 161334691163. The next prime is 161334691213. The reversal of 161334691200 is 2196433161.

161334691200 is a `hidden beast` number, since 1 + 61 + 334 + 69 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46107051 + ... + 46110549.

Almost surely, 2^161334691200 is an apocalyptic number.

161334691200 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 161334691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288101677500).

161334691200 is an abundant number, since it is smaller than the sum of its proper divisors (414868663800).

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

161334691200 is a wasteful number, since it uses less digits than its factorization.

161334691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 161334691200 in words is "one hundred sixty-one billion, three hundred thirty-four million, six hundred ninety-one thousand, two hundred".