146564564346004 has 96 divisors (see below), whose sum is σ = 301632720770304. Its totient is φ = 61021328901120.

The previous prime is 146564564345989. The next prime is 146564564346037. The reversal of 146564564346004 is 400643465465641.

It is a self number, because there is not a number n which added to its sum of digits gives 146564564346004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44507479 + ... + 47686945.

It is an arithmetic number, because the mean of its divisors is an integer number (3142007508024).

Almost surely, 2^{146564564346004} is an apocalyptic number.

146564564346004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146564564346004 is an abundant number, since it is smaller than the sum of its proper divisors (155068156424300).

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

146564564346004 is a wasteful number, since it uses less digits than its factorization.

146564564346004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179873 (or 3179871 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 58.

The spelling of 146564564346004 in words is "one hundred forty-six trillion, five hundred sixty-four billion, five hundred sixty-four million, three hundred forty-six thousand, four".