457214265345672 has 24 divisors (see below), whose sum is σ = 1238288635311390. Its totient is φ = 152404755115200.

The previous prime is 457214265345647. The next prime is 457214265345709. The reversal of 457214265345672 is 276543562412754.

457214265345672 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 1 + 4 + 2 + 65 + 3 + 4 + 567 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 388153278979236 + 69060986366436 = 19701606^2 + 8310294^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3175099064829 + ... + 3175099064972.

Almost surely, 2^{457214265345672} is an apocalyptic number.

It is an amenable number.

457214265345672 is an abundant number, since it is smaller than the sum of its proper divisors (781074369965718).

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

457214265345672 is a wasteful number, since it uses less digits than its factorization.

457214265345672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350198129813 (or 6350198129806 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 63.

The spelling of 457214265345672 in words is "four hundred fifty-seven trillion, two hundred fourteen billion, two hundred sixty-five million, three hundred forty-five thousand, six hundred seventy-two".