457881648112448 has 224 divisors, whose sum is σ = 1061784665620224. Its totient is φ = 191877622530048.

The previous prime is 457881648112327. The next prime is 457881648112463. The reversal of 457881648112448 is 844211846188754.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1536846311 + ... + 1537144217.

It is an arithmetic number, because the mean of its divisors is an integer number (4740110114376).

Almost surely, 2^{457881648112448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457881648112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530892332810112).

457881648112448 is an abundant number, since it is smaller than the sum of its proper divisors (603903017507776).

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

457881648112448 is a wasteful number, since it uses less digits than its factorization.

457881648112448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298449 (or 298439 counting only the distinct ones).

The product of its digits is 440401920, while the sum is 71.

The spelling of 457881648112448 in words is "four hundred fifty-seven trillion, eight hundred eighty-one billion, six hundred forty-eight million, one hundred twelve thousand, four hundred forty-eight".