456535460052 has 144 divisors (see below), whose sum is σ = 1388592791040. Its totient is φ = 123547000896.

The previous prime is 456535460047. The next prime is 456535460057. The reversal of 456535460052 is 250064535654.

456535460052 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 35 + 4 + 600 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (456535460047) and next prime (456535460057).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456535460057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34404723 + ... + 34417989.

Almost surely, 2^456535460052 is an apocalyptic number.

456535460052 is a gapful number since it is divisible by the number (42) 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 456535460052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694296395520).

456535460052 is an abundant number, since it is smaller than the sum of its proper divisors (932057330988).

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

456535460052 is a wasteful number, since it uses less digits than its factorization.

456535460052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20490 (or 20485 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 456535460052 in words is "four hundred fifty-six billion, five hundred thirty-five million, four hundred sixty thousand, fifty-two".