8146506456 has 96 divisors (see below), whose sum is σ = 24174867600. Its totient is φ = 2457803520.

The previous prime is 8146506449. The next prime is 8146506469. The reversal of 8146506456 is 6546056418.

8146506456 is a `hidden beast` number, since 8 + 146 + 50 + 6 + 456 = 666.

It is a hoax number, since the sum of its digits (45) 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158910 + ... + 203826.

Almost surely, 2^8146506456 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 8146506456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12087433800).

8146506456 is an abundant number, since it is smaller than the sum of its proper divisors (16028361144).

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

8146506456 is a wasteful number, since it uses less digits than its factorization.

8146506456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45169 (or 45162 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8146506456 is about 90257.9994017151. Note that the first 3 decimals coincide. The cubic root of 8146506456 is about 2012.1350921839.

The spelling of 8146506456 in words is "eight billion, one hundred forty-six million, five hundred six thousand, four hundred fifty-six".