8454156984 has 384 divisors, whose sum is σ = 30466800000. Its totient is φ = 2097156096.

The previous prime is 8454156941. The next prime is 8454157013. The reversal of 8454156984 is 4896514548.

8454156984 is a `hidden beast` number, since 8 + 4 + 541 + 5 + 6 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8454156984.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 5457042 + ... + 5458590.

It is an arithmetic number, because the mean of its divisors is an integer number (79340625).

Almost surely, 2^8454156984 is an apocalyptic number.

8454156984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8454156984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400000).

8454156984 is an abundant number, since it is smaller than the sum of its proper divisors (22012643016).

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

8454156984 is a wasteful number, since it uses less digits than its factorization.

8454156984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1591 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 8454156984 is about 91946.4897861794. The cubic root of 8454156984 is about 2037.1520062284.

The spelling of 8454156984 in words is "eight billion, four hundred fifty-four million, one hundred fifty-six thousand, nine hundred eighty-four".