8126949456384 has 320 divisors, whose sum is σ = 24214048201728. Its totient is φ = 2400756531200.

The previous prime is 8126949456371. The next prime is 8126949456413. The reversal of 8126949456384 is 4836549496218.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055033077 + ... + 1055040779.

Almost surely, 2^{8126949456384} 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 8126949456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107024100864).

8126949456384 is an abundant number, since it is smaller than the sum of its proper divisors (16087098745344).

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

8126949456384 is a wasteful number, since it uses less digits than its factorization.

8126949456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9299 (or 9283 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 69.

The spelling of 8126949456384 in words is "eight trillion, one hundred twenty-six billion, nine hundred forty-nine million, four hundred fifty-six thousand, three hundred eighty-four".