8557106649408 has 392 divisors, whose sum is σ = 26342196784640. Its totient is φ = 2753864801280.

The previous prime is 8557106649391. The next prime is 8557106649451. The reversal of 8557106649408 is 8049466017558.

8557106649408 is a `hidden beast` number, since 8 + 557 + 10 + 6 + 64 + 9 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 634934766 + ... + 634948242.

Almost surely, 2^{8557106649408} 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 8557106649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171098392320).

8557106649408 is an abundant number, since it is smaller than the sum of its proper divisors (17785090135232).

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

8557106649408 is a wasteful number, since it uses less digits than its factorization.

8557106649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13977 (or 13952 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 8557106649408 in words is "eight trillion, five hundred fifty-seven billion, one hundred six million, six hundred forty-nine thousand, four hundred eight".