146394200596224 has 144 divisors (see below), whose sum is σ = 445719356570880. Its totient is φ = 41785865871360.

The previous prime is 146394200596187. The next prime is 146394200596247. The reversal of 146394200596224 is 422695002493641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7883517 + ... + 18839804.

It is an arithmetic number, because the mean of its divisors is an integer number (3095273309520).

Almost surely, 2^{146394200596224} is an apocalyptic number.

146394200596224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146394200596224 is an abundant number, since it is smaller than the sum of its proper divisors (299325155974656).

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

146394200596224 is a wasteful number, since it uses less digits than its factorization.

146394200596224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26724366 (or 26724352 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 146394200596224 in words is "one hundred forty-six trillion, three hundred ninety-four billion, two hundred million, five hundred ninety-six thousand, two hundred twenty-four".