456001834848 has 384 divisors, whose sum is σ = 1509046640640. Its totient is φ = 117568143360.

The previous prime is 456001834807. The next prime is 456001834861. The reversal of 456001834848 is 848438100654.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 456001834848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38595790 + ... + 38607602.

It is an arithmetic number, because the mean of its divisors is an integer number (3929808960).

Almost surely, 2^456001834848 is an apocalyptic number.

456001834848 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 456001834848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754523320320).

456001834848 is an abundant number, since it is smaller than the sum of its proper divisors (1053044805792).

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

456001834848 is a wasteful number, since it uses less digits than its factorization.

456001834848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 456001834848 in words is "four hundred fifty-six billion, one million, eight hundred thirty-four thousand, eight hundred forty-eight".