33661444016244 has 192 divisors, whose sum is σ = 94019104650240. Its totient is φ = 9252888852480.

The previous prime is 33661444016231. The next prime is 33661444016267. The reversal of 33661444016244 is 44261044416633.

It is a super-2 number, since 2×33661444016244² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33661444016193 and 33661444016202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36178407 + ... + 37097169.

It is an arithmetic number, because the mean of its divisors is an integer number (489682836720).

Almost surely, 2^{33661444016244} is an apocalyptic number.

33661444016244 is a gapful number since it is divisible by the number (34) 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 33661444016244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47009552325120).

33661444016244 is an abundant number, since it is smaller than the sum of its proper divisors (60357660633996).

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

33661444016244 is a wasteful number, since it uses less digits than its factorization.

33661444016244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919390 (or 919388 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 33661444016244 in words is "thirty-three trillion, six hundred sixty-one billion, four hundred forty-four million, sixteen thousand, two hundred forty-four".