33360468793344 has 4032 divisors, whose sum is σ = 138982625832960. Its totient is φ = 7804167782400.

The previous prime is 33360468793291. The next prime is 33360468793357. The reversal of 33360468793344 is 44339786406333.

33360468793344 is a `hidden beast` number, since 3 + 3 + 3 + 60 + 468 + 79 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×33360468793344² (a number of 28 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 901634291694 + ... + 901634291730.

It is an arithmetic number, because the mean of its divisors is an integer number (34469897280).

Almost surely, 2^{33360468793344} 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 33360468793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69491312916480).

33360468793344 is an abundant number, since it is smaller than the sum of its proper divisors (105622157039616).

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

33360468793344 is a wasteful number, since it uses less digits than its factorization.

33360468793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 63.

The spelling of 33360468793344 in words is "thirty-three trillion, three hundred sixty billion, four hundred sixty-eight million, seven hundred ninety-three thousand, three hundred forty-four".