459841794048 has 312 divisors, whose sum is σ = 1634805387488. Its totient is φ = 121276071936.

The previous prime is 459841794047. The next prime is 459841794079. The reversal of 459841794048 is 840497148954.

459841794048 is a `hidden beast` number, since 4 + 5 + 98 + 417 + 94 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×459841794048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459841794047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3286086 + ... + 3423162.

Almost surely, 2^459841794048 is an apocalyptic number.

459841794048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459841794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817402693744).

459841794048 is an abundant number, since it is smaller than the sum of its proper divisors (1174963593440).

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

459841794048 is a wasteful number, since it uses less digits than its factorization.

459841794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137127 (or 137102 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 459841794048 in words is "four hundred fifty-nine billion, eight hundred forty-one million, seven hundred ninety-four thousand, forty-eight".