161442691200 has 1152 divisors, whose sum is σ = 685648080000. Its totient is φ = 36144783360.

The previous prime is 161442691183. The next prime is 161442691217. The reversal of 161442691200 is 2196244161.

161442691200 is a `hidden beast` number, since 1 + 6 + 1 + 442 + 6 + 9 + 1 + 200 = 666.

161442691200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161442691183) and next prime (161442691217).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 582825462 + ... + 582825738.

It is an arithmetic number, because the mean of its divisors is an integer number (595180625).

Almost surely, 2^161442691200 is an apocalyptic number.

161442691200 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 161442691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342824040000).

161442691200 is an abundant number, since it is smaller than the sum of its proper divisors (524205388800).

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

161442691200 is a wasteful number, since it uses less digits than its factorization.

161442691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 161442691200 in words is "one hundred sixty-one billion, four hundred forty-two million, six hundred ninety-one thousand, two hundred".