459946342048 has 96 divisors (see below), whose sum is σ = 945411989760. Its totient is φ = 220102978560.

The previous prime is 459946342033. The next prime is 459946342139. The reversal of 459946342048 is 840243649954.

It is a junction number, because it is equal to n+sod(n) for n = 459946341983 and 459946342001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15857223 + ... + 15886201.

It is an arithmetic number, because the mean of its divisors is an integer number (9848041560).

Almost surely, 2^459946342048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459946342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472705994880).

459946342048 is an abundant number, since it is smaller than the sum of its proper divisors (485465647712).

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

459946342048 is a wasteful number, since it uses less digits than its factorization.

459946342048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29270 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 459946342048 in words is "four hundred fifty-nine billion, nine hundred forty-six million, three hundred forty-two thousand, forty-eight".