8072144687104 has 117 divisors (see below), whose sum is σ = 16338469823319. Its totient is φ = 3987613655040.

The previous prime is 8072144687093. The next prime is 8072144687209. The reversal of 8072144687104 is 4017864412708.

The square root of 8072144687104 is 2841152.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18728873769 + ... + 18728874199.

Almost surely, 2^{8072144687104} is an apocalyptic number.

8072144687104 is the 2841152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072144687104

8072144687104 is an abundant number, since it is smaller than the sum of its proper divisors (8266325136215).

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

8072144687104 is an frugal number, since it uses more digits than its factorization.

8072144687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 52.

The spelling of 8072144687104 in words is "eight trillion, seventy-two billion, one hundred forty-four million, six hundred eighty-seven thousand, one hundred four".