33366948984648 has 192 divisors, whose sum is σ = 95257515075840. Its totient is φ = 10530568806912.

The previous prime is 33366948984619. The next prime is 33366948984653. The reversal of 33366948984648 is 84648984966333.

33366948984648 is a `hidden beast` number, since 3 + 3 + 3 + 6 + 69 + 4 + 8 + 98 + 464 + 8 = 666.

It is a super-2 number, since 2×33366948984648² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377422786 + ... + 377511182.

It is an arithmetic number, because the mean of its divisors is an integer number (496132891020).

Almost surely, 2^{33366948984648} 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 33366948984648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628757537920).

33366948984648 is an abundant number, since it is smaller than the sum of its proper divisors (61890566091192).

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

33366948984648 is a wasteful number, since it uses less digits than its factorization.

33366948984648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90748 (or 90741 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 81.

The spelling of 33366948984648 in words is "thirty-three trillion, three hundred sixty-six billion, nine hundred forty-eight million, nine hundred eighty-four thousand, six hundred forty-eight".