33944666112 has 672 divisors, whose sum is σ = 122486881050. Its totient is φ = 9364045824.

The previous prime is 33944666047. The next prime is 33944666113. The reversal of 33944666112 is 21166644933.

It can be written as a sum of positive squares in only one way, i.e., 28677390336 + 5267275776 = 169344^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×33944666112² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33944666113) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1170505714 + ... + 1170505742.

Almost surely, 2^33944666112 is an apocalyptic number.

33944666112 is a gapful number since it is divisible by the number (32) 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 33944666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61243440525).

33944666112 is an abundant number, since it is smaller than the sum of its proper divisors (88542214938).

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

33944666112 is an frugal number, since it uses more digits than its factorization.

33944666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 33944666112 in words is "thirty-three billion, nine hundred forty-four million, six hundred sixty-six thousand, one hundred twelve".