8408137056 has 144 divisors (see below), whose sum is σ = 24358892544. Its totient is φ = 2537568000.

The previous prime is 8408137043. The next prime is 8408137057. The reversal of 8408137056 is 6507318048.

It is a junction number, because it is equal to n+sod(n) for n = 8408136999 and 8408137017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8408137057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3146601 + ... + 3149271.

It is an arithmetic number, because the mean of its divisors is an integer number (169158976).

Almost surely, 2^8408137056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8408137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12179446272).

8408137056 is an abundant number, since it is smaller than the sum of its proper divisors (15950755488).

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

8408137056 is a wasteful number, since it uses less digits than its factorization.

8408137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8408137056 is about 91695.8944337204. The cubic root of 8408137056 is about 2033.4488886283.

The spelling of 8408137056 in words is "eight billion, four hundred eight million, one hundred thirty-seven thousand, fifty-six".