457536282635754 has 192 divisors, whose sum is σ = 1201147922737152. Its totient is φ = 123083853004800.

The previous prime is 457536282635711. The next prime is 457536282635771.

It is a happy number.

457536282635754 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 3 + 6 + 28 + 26 + 3 + 575 + 4 = 666.

457536282635754 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×457536282635754³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5399444074 + ... + 5399528810.

It is an arithmetic number, because the mean of its divisors is an integer number (6255978764256).

Almost surely, 2^{457536282635754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457536282635754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600573961368576).

457536282635754 is an abundant number, since it is smaller than the sum of its proper divisors (743611640101398).

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

457536282635754 is a wasteful number, since it uses less digits than its factorization.

457536282635754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122181 (or 122178 counting only the distinct ones).

The product of its digits is 5080320000, while the sum is 72.

The spelling of 457536282635754 in words is "four hundred fifty-seven trillion, five hundred thirty-six billion, two hundred eighty-two million, six hundred thirty-five thousand, seven hundred fifty-four".