457534144512 has 544 divisors, whose sum is σ = 1476383744000. Its totient is φ = 139505172480.

The previous prime is 457534144511. The next prime is 457534144541. The reversal of 457534144512 is 215441435754.

It is a happy number.

457534144512 is a `hidden beast` number, since 4 + 5 + 7 + 53 + 41 + 44 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (457534144511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042218789 + ... + 1042219227.

Almost surely, 2^457534144512 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 457534144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738191872000).

457534144512 is an abundant number, since it is smaller than the sum of its proper divisors (1018849599488).

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

457534144512 is an equidigital number, since it uses as much as digits as its factorization.

457534144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 494 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The spelling of 457534144512 in words is "four hundred fifty-seven billion, five hundred thirty-four million, one hundred forty-four thousand, five hundred twelve".