163635878016576 has 945 divisors, whose sum is σ = 599808923163219. Its totient is φ = 43973452357632.

The previous prime is 163635878016487. The next prime is 163635878016577. The reversal of 163635878016576 is 675610878536361.

It is a happy number.

The square root of 163635878016576 is 12792024.

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

163635878016576 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 35 + 8 + 7 + 8 + 0 + 16 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70579758182976 + 93056119833600 = 8401176^2 + 9646560^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (163635878016577) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 109602060886 + ... + 109602062378.

Almost surely, 2^{163635878016576} is an apocalyptic number.

163635878016576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

163635878016576 is the 12792024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163635878016576

163635878016576 is an abundant number, since it is smaller than the sum of its proper divisors (436173045146643).

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

163635878016576 is an frugal number, since it uses more digits than its factorization.

163635878016576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 163635878016576 in words is "one hundred sixty-three trillion, six hundred thirty-five billion, eight hundred seventy-eight million, sixteen thousand, five hundred seventy-six".