8133655315968 has 1440 divisors, whose sum is σ = 32295761001504. Its totient is φ = 2018620735488.

The previous prime is 8133655315889. The next prime is 8133655315993. The reversal of 8133655315968 is 8695135563318.

8133655315968 is a `hidden beast` number, since 8 + 1 + 3 + 3 + 6 + 5 + 5 + 31 + 596 + 8 = 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 143 ways as a sum of consecutive naturals, for example, 1347297846 + ... + 1347303882.

Almost surely, 2^{8133655315968} 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 8133655315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147880500752).

8133655315968 is an abundant number, since it is smaller than the sum of its proper divisors (24162105685536).

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

8133655315968 is a wasteful number, since it uses less digits than its factorization.

8133655315968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114 (or 6079 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 8133655315968 in words is "eight trillion, one hundred thirty-three billion, six hundred fifty-five million, three hundred fifteen thousand, nine hundred sixty-eight".