130416614001 has 8 divisors (see below), whose sum is σ = 193209798560. Its totient is φ = 86944409316.

The previous prime is 130416613969. The next prime is 130416614017. The reversal of 130416614001 is 100416614031.

130416614001 is a `hidden beast` number, since 1 + 3 + 0 + 41 + 6 + 614 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 130416614001 - 2⁵ = 130416613969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4830244963 = 130416614001 / (1 + 3 + 0 + 4 + 1 + 6 + 6 + 1 + 4 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130416613001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2415122455 + ... + 2415122508.

It is an arithmetic number, because the mean of its divisors is an integer number (24151224820).

Almost surely, 2^130416614001 is an apocalyptic number.

It is an amenable number.

130416614001 is a deficient number, since it is larger than the sum of its proper divisors (62793184559).

130416614001 is an equidigital number, since it uses as much as digits as its factorization.

130416614001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830244972 (or 4830244966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 130416614001 in words is "one hundred thirty billion, four hundred sixteen million, six hundred fourteen thousand, one".