146225461102224 has 40 divisors (see below), whose sum is σ = 431713266112320. Its totient is φ = 41778703171968.

The previous prime is 146225461102183. The next prime is 146225461102289. The reversal of 146225461102224 is 422201164522641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217597412019 + ... + 217597412690.

It is an arithmetic number, because the mean of its divisors is an integer number (10792831652808).

Almost surely, 2^{146225461102224} is an apocalyptic number.

146225461102224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146225461102224 is an abundant number, since it is smaller than the sum of its proper divisors (285487805010096).

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

146225461102224 is a wasteful number, since it uses less digits than its factorization.

146225461102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435194824727 (or 435194824721 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 146225461102224 in words is "one hundred forty-six trillion, two hundred twenty-five billion, four hundred sixty-one million, one hundred two thousand, two hundred twenty-four".