8429917378624 has 189 divisors, whose sum is σ = 19652928605037. Its totient is φ = 3577214043648.

The previous prime is 8429917378621. The next prime is 8429917378667. The reversal of 8429917378624 is 4268737199248.

The square root of 8429917378624 is 2903432.

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., 4582168360000 + 3847749018624 = 2140600^2 + 1961568^2 .

It is not an unprimeable number, because it can be changed into a prime (8429917378621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22600314502 + ... + 22600314874.

It is an arithmetic number, because the mean of its divisors is an integer number (103983749233).

Almost surely, 2^{8429917378624} is an apocalyptic number.

8429917378624 is the 2903432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8429917378624

8429917378624 is an abundant number, since it is smaller than the sum of its proper divisors (11223011226413).

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

8429917378624 is an frugal number, since it uses more digits than its factorization.

8429917378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 521 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 70.

The spelling of 8429917378624 in words is "eight trillion, four hundred twenty-nine billion, nine hundred seventeen million, three hundred seventy-eight thousand, six hundred twenty-four".