130741844688 has 1200 divisors, whose sum is σ = 505747630080. Its totient is φ = 32262064128.

The previous prime is 130741844683. The next prime is 130741844747. The reversal of 130741844688 is 886448147031.

130741844688 is a `hidden beast` number, since 1 + 30 + 74 + 1 + 84 + 468 + 8 = 666.

It is a super-2 number, since 2×130741844688² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (130741844683) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1029463281 + ... + 1029463407.

Almost surely, 2^130741844688 is an apocalyptic number.

130741844688 is a gapful number since it is divisible by the number (18) 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 130741844688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252873815040).

130741844688 is an abundant number, since it is smaller than the sum of its proper divisors (375005785392).

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

130741844688 is a wasteful number, since it uses less digits than its factorization.

130741844688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 130741844688 in words is "one hundred thirty billion, seven hundred forty-one million, eight hundred forty-four thousand, six hundred eighty-eight".