158523409809664 has 243 divisors, whose sum is σ = 344839716108741. Its totient is φ = 72715293818880.

The previous prime is 158523409809631. The next prime is 158523409809707. The reversal of 158523409809664 is 466908904325851.

The square root of 158523409809664 is 12590608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 158407396000000 + 116013809664 = 12586000^2 + 340608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 158523409809593 and 158523409809602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140410459852 + ... + 140410460980.

Almost surely, 2^{158523409809664} is an apocalyptic number.

158523409809664 is the 12590608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158523409809664

158523409809664 is an abundant number, since it is smaller than the sum of its proper divisors (186316306299077).

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

158523409809664 is an frugal number, since it uses more digits than its factorization.

158523409809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 70.

The spelling of 158523409809664 in words is "one hundred fifty-eight trillion, five hundred twenty-three billion, four hundred nine million, eight hundred nine thousand, six hundred sixty-four".