457234462536966 has 48 divisors (see below), whose sum is σ = 991089322112448. Its totient is φ = 152347704940800.

The previous prime is 457234462536959. The next prime is 457234462536979. The reversal of 457234462536966 is 669635264432754.

457234462536966 is a `hidden beast` number, since 4 + 5 + 7 + 23 + 4 + 4 + 6 + 2 + 536 + 9 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457234462536894 and 457234462536903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543374836 + ... + 544215656.

It is an arithmetic number, because the mean of its divisors is an integer number (20647694210676).

Almost surely, 2^{457234462536966} is an apocalyptic number.

457234462536966 is an abundant number, since it is smaller than the sum of its proper divisors (533854859575482).

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

457234462536966 is a wasteful number, since it uses less digits than its factorization.

457234462536966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853437 (or 853434 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 72.

The spelling of 457234462536966 in words is "four hundred fifty-seven trillion, two hundred thirty-four billion, four hundred sixty-two million, five hundred thirty-six thousand, nine hundred sixty-six".