8481141504 has 288 divisors, whose sum is σ = 27524340480. Its totient is φ = 2554675200.

The previous prime is 8481141497. The next prime is 8481141521. The reversal of 8481141504 is 4051411848.

8481141504 is a `hidden beast` number, since 8 + 4 + 8 + 1 + 141 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8481141504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25166424 + ... + 25166760.

Almost surely, 2^8481141504 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 8481141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762170240).

8481141504 is an abundant number, since it is smaller than the sum of its proper divisors (19043198976).

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

8481141504 is a wasteful number, since it uses less digits than its factorization.

8481141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8481141504 is about 92093.1132278630. The cubic root of 8481141504 is about 2039.3171416915.

The spelling of 8481141504 in words is "eight billion, four hundred eighty-one million, one hundred forty-one thousand, five hundred four".