159464448900 has 729 divisors, whose sum is σ = 571025491309. Its totient is φ = 38642365440.

The previous prime is 159464448877. The next prime is 159464448901. The reversal of 159464448900 is 9844464951.

The square root of 159464448900 is 399330.

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

159464448900 is a `hidden beast` number, since 1 + 59 + 4 + 64 + 448 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 51953908356 + 107510540544 = 227934^2 + 327888^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-2 number, since 2×159464448900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (159464448901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5498774086 + ... + 5498774114.

Almost surely, 2^159464448900 is an apocalyptic number.

159464448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159464448900 is the 399330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159464448900

159464448900 is an abundant number, since it is smaller than the sum of its proper divisors (411561042409).

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

159464448900 is an equidigital number, since it uses as much as digits as its factorization.

159464448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 159464448900 in words is "one hundred fifty-nine billion, four hundred sixty-four million, four hundred forty-eight thousand, nine hundred".