33336331793856 has 1344 divisors, whose sum is σ = 129711359697920. Its totient is φ = 8242749112320.

The previous prime is 33336331793777. The next prime is 33336331793879. The reversal of 33336331793856 is 65839713363333.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×33336331793856² (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 junction number, because it is equal to n+sod(n) for n = 33336331793793 and 33336331793802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2608266186 + ... + 2608278966.

Almost surely, 2^{33336331793856} is an apocalyptic number.

33336331793856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33336331793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64855679848960).

33336331793856 is an abundant number, since it is smaller than the sum of its proper divisors (96375027904064).

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

33336331793856 is a wasteful number, since it uses less digits than its factorization.

33336331793856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944 (or 12922 counting only the distinct ones).

The product of its digits is 198404640, while the sum is 63.

The spelling of 33336331793856 in words is "thirty-three trillion, three hundred thirty-six billion, three hundred thirty-one million, seven hundred ninety-three thousand, eight hundred fifty-six".