457111120848 has 160 divisors (see below), whose sum is σ = 1231466181120. Its totient is φ = 145993236480.

The previous prime is 457111120831. The next prime is 457111120849. The reversal of 457111120848 is 848021111754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457111120849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34329040 + ... + 34342352.

It is an arithmetic number, because the mean of its divisors is an integer number (7696663632).

Almost surely, 2^457111120848 is an apocalyptic number.

457111120848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457111120848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615733090560).

457111120848 is an abundant number, since it is smaller than the sum of its proper divisors (774355060272).

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

457111120848 is a wasteful number, since it uses less digits than its factorization.

457111120848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 457111120848 in words is "four hundred fifty-seven billion, one hundred eleven million, one hundred twenty thousand, eight hundred forty-eight".