158205216384 has 96 divisors (see below), whose sum is σ = 479212687200. Its totient is φ = 49959535104.

The previous prime is 158205216347. The next prime is 158205216401. The reversal of 158205216384 is 483612502851.

158205216384 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 0 + 5 + 2 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×158205216384³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3592084 + ... + 3635859.

It is an arithmetic number, because the mean of its divisors is an integer number (4991798825).

Almost surely, 2^158205216384 is an apocalyptic number.

It is an amenable number.

158205216384 is an abundant number, since it is smaller than the sum of its proper divisors (321007470816).

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

158205216384 is a wasteful number, since it uses less digits than its factorization.

158205216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227982 (or 7227967 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 158205216384 in words is "one hundred fifty-eight billion, two hundred five million, two hundred sixteen thousand, three hundred eighty-four".