8345187904 has 63 divisors (see below), whose sum is σ = 17506561761. Its totient is φ = 3946406400.

The previous prime is 8345187901. The next prime is 8345187947. The reversal of 8345187904 is 4097815438.

The square root of 8345187904 is 91352.

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

It can be written as a sum of positive squares in only one way, i.e., 7014397504 + 1330790400 = 83752^2 + 36480^2 .

It is a super-2 number, since 2×8345187904² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8345187901) 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, 13885204 + ... + 13885804.

Almost surely, 2^8345187904 is an apocalyptic number.

8345187904 is the 91352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8345187904

8345187904 is an abundant number, since it is smaller than the sum of its proper divisors (9161373857).

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

8345187904 is an frugal number, since it uses more digits than its factorization.

8345187904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The cubic root of 8345187904 is about 2028.3615682695.

Multiplying 8345187904 by its sum of digits (49), we get a square (408914207296 = 639464²).

It can be divided in two parts, 8345 and 187904, that added together give a square (196249 = 443²).

The spelling of 8345187904 in words is "eight billion, three hundred forty-five million, one hundred eighty-seven thousand, nine hundred four".