8438145408 has 512 divisors, whose sum is σ = 31925836800. Its totient is φ = 2130001920.

The previous prime is 8438145407. The next prime is 8438145413. The reversal of 8438145408 is 8045418348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8438145407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9845716 + ... + 9846572.

It is an arithmetic number, because the mean of its divisors is an integer number (62355150).

Almost surely, 2^8438145408 is an apocalyptic number.

8438145408 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 8438145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962918400).

8438145408 is an abundant number, since it is smaller than the sum of its proper divisors (23487691392).

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

8438145408 is a wasteful number, since it uses less digits than its factorization.

8438145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8438145408 is about 91859.3784433576. The cubic root of 8438145408 is about 2035.8651194737.

The spelling of 8438145408 in words is "eight billion, four hundred thirty-eight million, one hundred forty-five thousand, four hundred eight".