8214357456 has 60 divisors (see below), whose sum is σ = 23020198240. Its totient is φ = 2734378560.

The previous prime is 8214357443. The next prime is 8214357491. The reversal of 8214357456 is 6547534128.

8214357456 is a `hidden beast` number, since 8 + 2 + 143 + 57 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67821 + ... + 145011.

Almost surely, 2^8214357456 is an apocalyptic number.

It is an amenable number.

8214357456 is an abundant number, since it is smaller than the sum of its proper divisors (14805840784).

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

8214357456 is a wasteful number, since it uses less digits than its factorization.

8214357456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77944 (or 77935 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 8214357456 is about 90633.0924993735. The cubic root of 8214357456 is about 2017.7059091581.

The spelling of 8214357456 in words is "eight billion, two hundred fourteen million, three hundred fifty-seven thousand, four hundred fifty-six".