8468134038 has 288 divisors, whose sum is σ = 24558746400. Its totient is φ = 2153039616.

The previous prime is 8468134021. The next prime is 8468134039. The reversal of 8468134038 is 8304318648.

It is a junction number, because it is equal to n+sod(n) for n = 8468133984 and 8468134002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8468134039) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12967720 + ... + 12968372.

It is an arithmetic number, because the mean of its divisors is an integer number (85273425).

Almost surely, 2^8468134038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8468134038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279373200).

8468134038 is an abundant number, since it is smaller than the sum of its proper divisors (16090612362).

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

8468134038 is a wasteful number, since it uses less digits than its factorization.

8468134038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8468134038 is about 92022.4648550559. The cubic root of 8468134038 is about 2038.2740462140.

The spelling of 8468134038 in words is "eight billion, four hundred sixty-eight million, one hundred thirty-four thousand, thirty-eight".