8429669248 has 192 divisors, whose sum is σ = 22722507360. Its totient is φ = 3031142400.

The previous prime is 8429669201. The next prime is 8429669291.

8429669248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8429669192 and 8429669201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406418 + ... + 1412398.

Almost surely, 2^8429669248 is an apocalyptic number.

8429669248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8429669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361253680).

8429669248 is an abundant number, since it is smaller than the sum of its proper divisors (14292838112).

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

8429669248 is a wasteful number, since it uses less digits than its factorization.

8429669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6014 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The square root of 8429669248 is about 91813.2302448836. The cubic root of 8429669248 is about 2035.1832121389.

The spelling of 8429669248 in words is "eight billion, four hundred twenty-nine million, six hundred sixty-nine thousand, two hundred forty-eight".