146806509634401 has 8 divisors (see below), whose sum is σ = 202491737426880. Its totient is φ = 94496144132432.

The previous prime is 146806509634399. The next prime is 146806509634427. The reversal of 146806509634401 is 104436905608641.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146806509634401 - 2¹ = 146806509634399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146806509632401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843715572525 + ... + 843715572698.

It is an arithmetic number, because the mean of its divisors is an integer number (25311467178360).

Almost surely, 2^{146806509634401} is an apocalyptic number.

It is an amenable number.

146806509634401 is a deficient number, since it is larger than the sum of its proper divisors (55685227792479).

146806509634401 is a wasteful number, since it uses less digits than its factorization.

146806509634401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687431145255.

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 146806509634401 in words is "one hundred forty-six trillion, eight hundred six billion, five hundred nine million, six hundred thirty-four thousand, four hundred one".