8133674959872 has 1056 divisors, whose sum is σ = 30696844752000. Its totient is φ = 2103751802880.

The previous prime is 8133674959849. The next prime is 8133674959919. The reversal of 8133674959872 is 2789594763318.

8133674959872 is a `hidden beast` number, since 8 + 1 + 3 + 3 + 67 + 495 + 9 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×8133674959872³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (548674560) is a multiple of the sum of its prime factors (2352).

It is a self number, because there is not a number n which added to its sum of digits gives 8133674959872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4008710154 + ... + 4008712182.

Almost surely, 2^{8133674959872} 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 8133674959872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348422376000).

8133674959872 is an abundant number, since it is smaller than the sum of its proper divisors (22563169792128).

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

8133674959872 is a wasteful number, since it uses less digits than its factorization.

8133674959872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2321 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 8133674959872 in words is "eight trillion, one hundred thirty-three billion, six hundred seventy-four million, nine hundred fifty-nine thousand, eight hundred seventy-two".