459106429344 has 24 divisors (see below), whose sum is σ = 1205154377280. Its totient is φ = 153035476416.

The previous prime is 459106429259. The next prime is 459106429363. The reversal of 459106429344 is 443924601954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2391179224 + ... + 2391179415.

It is an arithmetic number, because the mean of its divisors is an integer number (50214765720).

Almost surely, 2^459106429344 is an apocalyptic number.

It is an amenable number.

459106429344 is an abundant number, since it is smaller than the sum of its proper divisors (746047947936).

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

459106429344 is a wasteful number, since it uses less digits than its factorization.

459106429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782358652 (or 4782358644 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 459106429344 in words is "four hundred fifty-nine billion, one hundred six million, four hundred twenty-nine thousand, three hundred forty-four".