33853722400344 has 512 divisors, whose sum is σ = 115950901248000. Its totient is φ = 7964747366400.

The previous prime is 33853722400343. The next prime is 33853722400373. The reversal of 33853722400344 is 44300422735833.

It is a happy number.

It is a super-2 number, since 2×33853722400344² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33853722400293 and 33853722400302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33853722400343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2203867224 + ... + 2203882584.

It is an arithmetic number, because the mean of its divisors is an integer number (226466604000).

Almost surely, 2^{33853722400344} 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 33853722400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57975450624000).

33853722400344 is an abundant number, since it is smaller than the sum of its proper divisors (82097178847656).

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

33853722400344 is a wasteful number, since it uses less digits than its factorization.

33853722400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18159 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 33853722400344 in words is "thirty-three trillion, eight hundred fifty-three billion, seven hundred twenty-two million, four hundred thousand, three hundred forty-four".