8242995133296 has 1920 divisors, whose sum is σ = 32628951613440. Its totient is φ = 1954737100800.

The previous prime is 8242995133249. The next prime is 8242995133309. The reversal of 8242995133296 is 6923315992428.

8242995133296 is a `hidden beast` number, since 8 + 2 + 4 + 2 + 99 + 513 + 3 + 29 + 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 383 ways as a sum of consecutive naturals, for example, 112917741516 + ... + 112917741588.

It is an arithmetic number, because the mean of its divisors is an integer number (16994245632).

Almost surely, 2^{8242995133296} 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 8242995133296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314475806720).

8242995133296 is an abundant number, since it is smaller than the sum of its proper divisors (24385956480144).

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

8242995133296 is a wasteful number, since it uses less digits than its factorization.

8242995133296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 150 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

It can be divided in two parts, 824299 and 5133296, that added together give a palindrome (5957595).

The spelling of 8242995133296 in words is "eight trillion, two hundred forty-two billion, nine hundred ninety-five million, one hundred thirty-three thousand, two hundred ninety-six".