33444144000000 has 616 divisors, whose sum is σ = 123806732441040. Its totient is φ = 8918323200000.

The previous prime is 33444143999977. The next prime is 33444144000017. The reversal of 33444144000000 is 44144433.

It is a super-2 number, since 2×33444144000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 431961292 + ... + 432038708.

Almost surely, 2^{33444144000000} is an apocalyptic number.

33444144000000 is a gapful number since it is divisible by the number (30) 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 33444144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61903366220520).

33444144000000 is an abundant number, since it is smaller than the sum of its proper divisors (90362588441040).

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

33444144000000 is an frugal number, since it uses more digits than its factorization.

33444144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77476 (or 77427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 33444144000000 its reverse (44144433), we get a palindrome (33444188144433).

The spelling of 33444144000000 in words is "thirty-three trillion, four hundred forty-four billion, one hundred forty-four million", and thus it is an aban number.