457641586596672 has 1008 divisors, whose sum is σ = 1440367630490880. Its totient is φ = 138434588835840.

The previous prime is 457641586596617. The next prime is 457641586596683. The reversal of 457641586596672 is 276695685146754.

457641586596672 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 4 + 15 + 8 + 6 + 596 + 6 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457641586596591 and 457641586596600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 629493241173 + ... + 629493241899.

It is an arithmetic number, because the mean of its divisors is an integer number (1428936141360).

Almost surely, 2^{457641586596672} 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 457641586596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720183815245440).

457641586596672 is an abundant number, since it is smaller than the sum of its proper divisors (982726043894208).

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

457641586596672 is a wasteful number, since it uses less digits than its factorization.

457641586596672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1186 counting only the distinct ones).

The product of its digits is 18289152000, while the sum is 81.

The spelling of 457641586596672 in words is "four hundred fifty-seven trillion, six hundred forty-one billion, five hundred eighty-six million, five hundred ninety-six thousand, six hundred seventy-two".