33989419666944 has 840 divisors, whose sum is σ = 124681398886440. Its totient is φ = 9200049610752.

The previous prime is 33989419666919. The next prime is 33989419667029. The reversal of 33989419666944 is 44966691498933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 347444982 + ... + 347542794.

Almost surely, 2^{33989419666944} 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 33989419666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62340699443220).

33989419666944 is an abundant number, since it is smaller than the sum of its proper divisors (90691979219496).

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

33989419666944 is an frugal number, since it uses more digits than its factorization.

33989419666944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97882 (or 97844 counting only the distinct ones).

The product of its digits is 6530347008, while the sum is 81.

The spelling of 33989419666944 in words is "thirty-three trillion, nine hundred eighty-nine billion, four hundred nineteen million, six hundred sixty-six thousand, nine hundred forty-four".