130833042048 has 128 divisors (see below), whose sum is σ = 392469969600. Its totient is φ = 42896010240.

The previous prime is 130833042047. The next prime is 130833042071. The reversal of 130833042048 is 840240338031.

It is a happy number.

130833042048 is a `hidden beast` number, since 1 + 308 + 3 + 304 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130833042047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99486 + ... + 521117.

Almost surely, 2^130833042048 is an apocalyptic number.

130833042048 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 130833042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196234984800).

130833042048 is an abundant number, since it is smaller than the sum of its proper divisors (261636927552).

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

130833042048 is an equidigital number, since it uses as much as digits as its factorization.

130833042048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620687 (or 620669 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 130833042048 in words is "one hundred thirty billion, eight hundred thirty-three million, forty-two thousand, forty-eight".