130609457664 has 240 divisors, whose sum is σ = 414183499488. Its totient is φ = 36448247808.

The previous prime is 130609457663. The next prime is 130609457681. The reversal of 130609457664 is 466754906031.

It is not an unprimeable number, because it can be changed into a prime (130609457663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3216174 + ... + 3256530.

Almost surely, 2^130609457664 is an apocalyptic number.

130609457664 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 130609457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207091749744).

130609457664 is an abundant number, since it is smaller than the sum of its proper divisors (283574041824).

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

130609457664 is an equidigital number, since it uses as much as digits as its factorization.

130609457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40435 (or 40412 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 130609457664 in words is "one hundred thirty billion, six hundred nine million, four hundred fifty-seven thousand, six hundred sixty-four".