8384117145156 has 315 divisors, whose sum is σ = 23325412968221. Its totient is φ = 2635584539616.

The previous prime is 8384117145121. The next prime is 8384117145163. The reversal of 8384117145156 is 6515417114838.

The square root of 8384117145156 is 2895534.

It is a perfect power (a square), and thus also a powerful number.

8384117145156 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 117 + 1 + 4 + 515 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4396427658756 + 3987689486400 = 2096766^2 + 1996920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

Its product of digits (3225600) is a multiple of the sum of its prime factors (252).

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 104 ways as a sum of consecutive naturals, for example, 194979468471 + ... + 194979468513.

Almost surely, 2^{8384117145156} is an apocalyptic number.

8384117145156 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8384117145156 is the 2895534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8384117145156

8384117145156 is an abundant number, since it is smaller than the sum of its proper divisors (14941295823065).

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

8384117145156 is an frugal number, since it uses more digits than its factorization.

8384117145156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 77 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 8384117145156 in words is "eight trillion, three hundred eighty-four billion, one hundred seventeen million, one hundred forty-five thousand, one hundred fifty-six".