130457048064 has 440 divisors, whose sum is σ = 423831186240. Its totient is φ = 35606495232.

The previous prime is 130457048047. The next prime is 130457048093. The reversal of 130457048064 is 460840754031.

It is a super-2 number, since 2×130457048064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169644672 + ... + 169645440.

It is an arithmetic number, because the mean of its divisors is an integer number (963252696).

Almost surely, 2^130457048064 is an apocalyptic number.

130457048064 is a gapful number since it is divisible by the number (14) 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 130457048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211915593120).

130457048064 is an abundant number, since it is smaller than the sum of its proper divisors (293374138176).

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

130457048064 is an frugal number, since it uses more digits than its factorization.

130457048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 130457048064 in words is "one hundred thirty billion, four hundred fifty-seven million, forty-eight thousand, sixty-four".