146668747866641 has 48 divisors (see below), whose sum is σ = 199358105487744. Its totient is φ = 104996019744000.

The previous prime is 146668747866631. The next prime is 146668747866649.

146668747866641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146668747866641 - 2³⁸ = 146393869959697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146668747866649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29241140 + ... + 33887781.

It is an arithmetic number, because the mean of its divisors is an integer number (4153293864328).

Almost surely, 2^{146668747866641} is an apocalyptic number.

146668747866641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146668747866641 is a deficient number, since it is larger than the sum of its proper divisors (52689357621103).

146668747866641 is a wasteful number, since it uses less digits than its factorization.

146668747866641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63129174 (or 63129163 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 80.

The spelling of 146668747866641 in words is "one hundred forty-six trillion, six hundred sixty-eight billion, seven hundred forty-seven million, eight hundred sixty-six thousand, six hundred forty-one".