8131456890 has 64 divisors (see below), whose sum is σ = 21849505920. Its totient is φ = 2151826560.

The previous prime is 8131456841. The next prime is 8131456909. The reversal of 8131456890 is 986541318.

8131456890 is a `hidden beast` number, since 81 + 3 + 1 + 4 + 568 + 9 + 0 = 666.

It is a super-2 number, since 2×8131456890² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79579 + ... + 150318.

It is an arithmetic number, because the mean of its divisors is an integer number (341398530).

Almost surely, 2^8131456890 is an apocalyptic number.

8131456890 is an abundant number, since it is smaller than the sum of its proper divisors (13718049030).

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

8131456890 is a wasteful number, since it uses less digits than its factorization.

8131456890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230044 (or 230038 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8131456890 is about 90174.5911551586. The cubic root of 8131456890 is about 2010.8952794967.

The spelling of 8131456890 in words is "eight billion, one hundred thirty-one million, four hundred fifty-six thousand, eight hundred ninety".