130463948160 has 1024 divisors, whose sum is σ = 573302016000. Its totient is φ = 27303837696.

The previous prime is 130463948141. The next prime is 130463948171. The reversal of 130463948160 is 61849364031.

130463948160 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 639 + 4 + 8 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256313986 + ... + 256314494.

It is an arithmetic number, because the mean of its divisors is an integer number (559865250).

Almost surely, 2^130463948160 is an apocalyptic number.

130463948160 is a gapful number since it is divisible by the number (10) 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 130463948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286651008000).

130463948160 is an abundant number, since it is smaller than the sum of its proper divisors (442838067840).

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

130463948160 is a wasteful number, since it uses less digits than its factorization.

130463948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 130463948160 in words is "one hundred thirty billion, four hundred sixty-three million, nine hundred forty-eight thousand, one hundred sixty".