456528253992 has 128 divisors (see below), whose sum is σ = 1220105980800. Its totient is φ = 141848985600.

The previous prime is 456528253991. The next prime is 456528253997. The reversal of 456528253992 is 299352825654.

It is not an unprimeable number, because it can be changed into a prime (456528253991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23866192 + ... + 23885312.

It is an arithmetic number, because the mean of its divisors is an integer number (9532077975).

Almost surely, 2^456528253992 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 456528253992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610052990400).

456528253992 is an abundant number, since it is smaller than the sum of its proper divisors (763577726808).

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

456528253992 is a wasteful number, since it uses less digits than its factorization.

456528253992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19707 (or 19703 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 60.

The spelling of 456528253992 in words is "four hundred fifty-six billion, five hundred twenty-eight million, two hundred fifty-three thousand, nine hundred ninety-two".