33114240144 has 120 divisors (see below), whose sum is σ = 96129427680. Its totient is φ = 10633545216.

The previous prime is 33114240023. The next prime is 33114240157. The reversal of 33114240144 is 44104241133.

It is a super-2 number, since 2×33114240144² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415387 + ... + 488645.

It is an arithmetic number, because the mean of its divisors is an integer number (801078564).

Almost surely, 2^33114240144 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 33114240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48064713840).

33114240144 is an abundant number, since it is smaller than the sum of its proper divisors (63015187536).

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

33114240144 is a wasteful number, since it uses less digits than its factorization.

33114240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73389 (or 73380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 33114240144 its reverse (44104241133), we get a palindrome (77218481277).

The spelling of 33114240144 in words is "thirty-three billion, one hundred fourteen million, two hundred forty thousand, one hundred forty-four".