130846464 has 324 divisors, whose sum is σ = 469527240. Its totient is φ = 34836480.

The previous prime is 130846459. The next prime is 130846477. The reversal of 130846464 is 464648031.

130846464 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 4 + 646 + 4 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2144994 + ... + 2145054.

Almost surely, 2^130846464 is an apocalyptic number.

130846464 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 130846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234763620).

130846464 is an abundant number, since it is smaller than the sum of its proper divisors (338680776).

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

130846464 is a wasteful number, since it uses less digits than its factorization.

130846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

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

The square root of 130846464 is about 11438.8139245291. The cubic root of 130846464 is about 507.6768151238.

The spelling of 130846464 in words is "one hundred thirty million, eight hundred forty-six thousand, four hundred sixty-four".