130009245696 has 864 divisors, whose sum is σ = 456761410560. Its totient is φ = 36787322880.

The previous prime is 130009245671. The next prime is 130009245697. The reversal of 130009245696 is 696542900031.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (130009245697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1023694785 + ... + 1023694911.

It is an arithmetic number, because the mean of its divisors is an integer number (528659040).

Almost surely, 2^130009245696 is an apocalyptic number.

130009245696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130009245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228380705280).

130009245696 is an abundant number, since it is smaller than the sum of its proper divisors (326752164864).

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

130009245696 is a wasteful number, since it uses less digits than its factorization.

130009245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 130009245696 in words is "one hundred thirty billion, nine million, two hundred forty-five thousand, six hundred ninety-six".