130852415648 has 48 divisors (see below), whose sum is σ = 262198983816. Its totient is φ = 64265149440.

The previous prime is 130852415647. The next prime is 130852415671. The reversal of 130852415648 is 846514258031.

130852415648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103794797584 + 27057618064 = 322172^2 + 164492^2 .

It is a super-3 number, since 3×130852415648³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130852415647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1385090 + ... + 1476542.

Almost surely, 2^130852415648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130852415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131099491908).

130852415648 is an abundant number, since it is smaller than the sum of its proper divisors (131346568168).

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

130852415648 is an equidigital number, since it uses as much as digits as its factorization.

130852415648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92257 (or 92249 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 130852415648 in words is "one hundred thirty billion, eight hundred fifty-two million, four hundred fifteen thousand, six hundred forty-eight".