8144701504 has 63 divisors (see below), whose sum is σ = 16781815687. Its totient is φ = 3921817088.

The previous prime is 8144701501. The next prime is 8144701507. The reversal of 8144701504 is 4051074418.

It is a happy number.

The square root of 8144701504 is 90248.

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

It is an interprime number because it is at equal distance from previous prime (8144701501) and next prime (8144701507).

It can be written as a sum of positive squares in 4 ways, for example, as 512931904 + 7631769600 = 22648^2 + 87360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8144701504.

It is not an unprimeable number, because it can be changed into a prime (8144701501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20937342 + ... + 20937730.

Almost surely, 2^8144701504 is an apocalyptic number.

8144701504 is the 90248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144701504

8144701504 is an abundant number, since it is smaller than the sum of its proper divisors (8637114183).

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

8144701504 is an frugal number, since it uses more digits than its factorization.

8144701504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The cubic root of 8144701504 is about 2011.9864773335.

The spelling of 8144701504 in words is "eight billion, one hundred forty-four million, seven hundred one thousand, five hundred four".