161392835586304 has 243 divisors, whose sum is σ = 387336596048451. Its totient is φ = 66918826920960.

The previous prime is 161392835586289. The next prime is 161392835586313. The reversal of 161392835586304 is 403685538293161.

The square root of 161392835586304 is 12704048.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 44108452827 + ... + 44108456485.

Almost surely, 2^{161392835586304} is an apocalyptic number.

161392835586304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

161392835586304 is the 12704048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161392835586304

161392835586304 is an abundant number, since it is smaller than the sum of its proper divisors (225943760462147).

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

161392835586304 is an frugal number, since it uses more digits than its factorization.

161392835586304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 64.

161392835586304 divided by its sum of digits (64) gives a square (2521763056036 = 1588006²).

The spelling of 161392835586304 in words is "one hundred sixty-one trillion, three hundred ninety-two billion, eight hundred thirty-five million, five hundred eighty-six thousand, three hundred four".