8701494144 has 256 divisors, whose sum is σ = 27942451200. Its totient is φ = 2343720960.

The previous prime is 8701494143. The next prime is 8701494169. The reversal of 8701494144 is 4414941078.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8701494096 and 8701494105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8701494143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17721739 + ... + 17722229.

It is an arithmetic number, because the mean of its divisors is an integer number (109150200).

Almost surely, 2^8701494144 is an apocalyptic number.

8701494144 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 8701494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971225600).

8701494144 is an abundant number, since it is smaller than the sum of its proper divisors (19240957056).

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

8701494144 is a wasteful number, since it uses less digits than its factorization.

8701494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8701494144 is about 93281.7996395867. The cubic root of 8701494144 is about 2056.8278497376.

The spelling of 8701494144 in words is "eight billion, seven hundred one million, four hundred ninety-four thousand, one hundred forty-four".