457082673116200 has 48 divisors (see below), whose sum is σ = 1064559012863580. Its totient is φ = 182516200796160.

The previous prime is 457082673116149. The next prime is 457082673116207. The reversal of 457082673116200 is 2611376280754.

It can be written as a sum of positive squares in 6 ways, for example, as 429997372558884 + 27085300557316 = 20736378^2 + 5204354^2 .

It is not an unprimeable number, because it can be changed into a prime (457082673116207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1980312127 + ... + 1980542926.

Almost surely, 2^{457082673116200} is an apocalyptic number.

457082673116200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457082673116200 is an abundant number, since it is smaller than the sum of its proper divisors (607476339747380).

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

457082673116200 is a wasteful number, since it uses less digits than its factorization.

457082673116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960855646 (or 3960855637 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 457082673116200 in words is "four hundred fifty-seven trillion, eighty-two billion, six hundred seventy-three million, one hundred sixteen thousand, two hundred".