8621010144 has 576 divisors, whose sum is σ = 29059430400. Its totient is φ = 2500388352.

The previous prime is 8621010103. The next prime is 8621010173. The reversal of 8621010144 is 4410101268.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146118787 + ... + 146118845.

It is an arithmetic number, because the mean of its divisors is an integer number (50450400).

Almost surely, 2^8621010144 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 8621010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529715200).

8621010144 is an abundant number, since it is smaller than the sum of its proper divisors (20438420256).

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

8621010144 is a wasteful number, since it uses less digits than its factorization.

8621010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8621010144 is about 92849.3949576409. The cubic root of 8621010144 is about 2050.4666908131.

The spelling of 8621010144 in words is "eight billion, six hundred twenty-one million, ten thousand, one hundred forty-four".