457536635754 has 128 divisors (see below), whose sum is σ = 1076602475520. Its totient is φ = 128132928000.

The previous prime is 457536635719. The next prime is 457536635771.

It is a happy number.

457536635754 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×457536635754² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46206204 + ... + 46216104.

It is an arithmetic number, because the mean of its divisors is an integer number (8410956840).

Almost surely, 2^457536635754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457536635754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538301237760).

457536635754 is an abundant number, since it is smaller than the sum of its proper divisors (619065839766).

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

457536635754 is a wasteful number, since it uses less digits than its factorization.

457536635754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836.

The product of its digits is 158760000, while the sum is 60.

The spelling of 457536635754 in words is "four hundred fifty-seven billion, five hundred thirty-six million, six hundred thirty-five thousand, seven hundred fifty-four".