457446222644754 has 512 divisors, whose sum is σ = 1125692080128000. Its totient is φ = 121198166369280.

The previous prime is 457446222644743. The next prime is 457446222644767.

457446222644754 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×457446222644754² (a number of 30 digits) contains 22 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 255 ways as a sum of consecutive naturals, for example, 326980858947 + ... + 326980860345.

It is an arithmetic number, because the mean of its divisors is an integer number (2198617344000).

Almost surely, 2^{457446222644754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457446222644754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562846040064000).

457446222644754 is an abundant number, since it is smaller than the sum of its proper divisors (668245857483246).

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

457446222644754 is a wasteful number, since it uses less digits than its factorization.

457446222644754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118.

The product of its digits is 1445068800, while the sum is 66.

The spelling of 457446222644754 in words is "four hundred fifty-seven trillion, four hundred forty-six billion, two hundred twenty-two million, six hundred forty-four thousand, seven hundred fifty-four".