33484514496768 has 144 divisors (see below), whose sum is σ = 102213781465600. Its totient is φ = 10801456220160.

The previous prime is 33484514496677. The next prime is 33484514496779. The reversal of 33484514496768 is 86769441548433.

33484514496768 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 4 + 514 + 49 + 6 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×33484514496768³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 33484514496696 and 33484514496705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77921263 + ... + 78349806.

Almost surely, 2^{33484514496768} is an apocalyptic number.

It is an amenable number.

33484514496768 is an abundant number, since it is smaller than the sum of its proper divisors (68729266968832).

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

33484514496768 is a wasteful number, since it uses less digits than its factorization.

33484514496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156271125 (or 156271105 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 33484514496768 in words is "thirty-three trillion, four hundred eighty-four billion, five hundred fourteen million, four hundred ninety-six thousand, seven hundred sixty-eight".