130046743008 has 288 divisors, whose sum is σ = 455573716416. Its totient is φ = 34267152384.

The previous prime is 130046742983. The next prime is 130046743019. The reversal of 130046743008 is 800347640031.

130046743008 is a `hidden beast` number, since 1 + 300 + 46 + 7 + 4 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 53803816 + ... + 53806232.

It is an arithmetic number, because the mean of its divisors is an integer number (1581853182).

Almost surely, 2^130046743008 is an apocalyptic number.

130046743008 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 130046743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227786858208).

130046743008 is an abundant number, since it is smaller than the sum of its proper divisors (325526973408).

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

130046743008 is a wasteful number, since it uses less digits than its factorization.

130046743008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 130046743008 in words is "one hundred thirty billion, forty-six million, seven hundred forty-three thousand, eight".