342225164456000 has 112 divisors (see below), whose sum is σ = 968594994187392. Its totient is φ = 117334342080000.

The previous prime is 342225164455987. The next prime is 342225164456003. The reversal of 342225164456000 is 654461522243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (342225164456003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3055525826 + ... + 3055637825.

Almost surely, 2^{342225164456000} is an apocalyptic number.

It is an amenable number.

342225164456000 is an abundant number, since it is smaller than the sum of its proper divisors (626369829731392).

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

342225164456000 is an equidigital number, since it uses as much as digits as its factorization.

342225164456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111163685 (or 6111163665 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 342225164456000 in words is "three hundred forty-two trillion, two hundred twenty-five billion, one hundred sixty-four million, four hundred fifty-six thousand".