456533000000 has 784 divisors, whose sum is σ = 1452543907200. Its totient is φ = 142296000000.

The previous prime is 456532999943. The next prime is 456533000003. The reversal of 456533000000 is 335654.

The cubic root of 456533000000 is 7700.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (784).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456533000003) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41502999995 + ... + 41503000005.

Almost surely, 2^456533000000 is an apocalyptic number.

456533000000 is a gapful number since it is divisible by the number (40) 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 456533000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726271953600).

456533000000 is an abundant number, since it is smaller than the sum of its proper divisors (996010907200).

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

456533000000 is an frugal number, since it uses more digits than its factorization.

456533000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 456533000000 its reverse (335654), we get a palindrome (456533335654).

The spelling of 456533000000 in words is "four hundred fifty-six billion, five hundred thirty-three million", and thus it is an aban number.