130434269198112 has 576 divisors, whose sum is σ = 412635339148032. Its totient is φ = 38751498240000.

The previous prime is 130434269198089. The next prime is 130434269198147. The reversal of 130434269198112 is 211891962434031.

130434269198112 is a `hidden beast` number, since 1 + 3 + 0 + 43 + 426 + 91 + 9 + 81 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68183098468 + ... + 68183100380.

It is an arithmetic number, because the mean of its divisors is an integer number (716380797132).

Almost surely, 2^{130434269198112} is an apocalyptic number.

130434269198112 is a gapful number since it is divisible by the number (12) 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 130434269198112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206317669574016).

130434269198112 is an abundant number, since it is smaller than the sum of its proper divisors (282201069949920).

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

130434269198112 is a wasteful number, since it uses less digits than its factorization.

130434269198112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 130434269198112 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred sixty-nine million, one hundred ninety-eight thousand, one hundred twelve".