146614416641 has 32 divisors (see below), whose sum is σ = 189097476096. Its totient is φ = 110320056000.

The previous prime is 146614416629. The next prime is 146614416643.

146614416641 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-146614416641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146614416592 and 146614416601.

It is not an unprimeable number, because it can be changed into a prime (146614416643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038851 + ... + 1171511.

It is an arithmetic number, because the mean of its divisors is an integer number (5909296128).

Almost surely, 2^146614416641 is an apocalyptic number.

146614416641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146614416641 is a deficient number, since it is larger than the sum of its proper divisors (42483059455).

146614416641 is a wasteful number, since it uses less digits than its factorization.

146614416641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133173.

The product of its digits is 331776, while the sum is 44.

The spelling of 146614416641 in words is "one hundred forty-six billion, six hundred fourteen million, four hundred sixteen thousand, six hundred forty-one".