8138496110976 has 1024 divisors, whose sum is σ = 30284948275200. Its totient is φ = 2090188800000.

The previous prime is 8138496110939. The next prime is 8138496110989. The reversal of 8138496110976 is 6790116948318.

8138496110976 is a `hidden beast` number, since 8 + 1 + 3 + 8 + 4 + 9 + 611 + 0 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10836878601 + ... + 10836879351.

It is an arithmetic number, because the mean of its divisors is an integer number (29575144800).

Almost surely, 2^{8138496110976} 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 8138496110976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142474137600).

8138496110976 is an abundant number, since it is smaller than the sum of its proper divisors (22146452164224).

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

8138496110976 is a wasteful number, since it uses less digits than its factorization.

8138496110976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 8138496110976 in words is "eight trillion, one hundred thirty-eight billion, four hundred ninety-six million, one hundred ten thousand, nine hundred seventy-six".