33412446144 has 252 divisors, whose sum is σ = 121535802648. Its totient is φ = 8678476800.

The previous prime is 33412446139. The next prime is 33412446149. The reversal of 33412446144 is 44164421433.

33412446144 is a `hidden beast` number, since 3 + 34 + 1 + 2 + 4 + 4 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (33412446139) and next prime (33412446149).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×33412446144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 33412446099 and 33412446108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33412446149) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 256654 + ... + 364274.

Almost surely, 2^33412446144 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 33412446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60767901324).

33412446144 is an abundant number, since it is smaller than the sum of its proper divisors (88123356504).

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

33412446144 is a wasteful number, since it uses less digits than its factorization.

33412446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107664 (or 107644 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 33412446144 its reverse (44164421433), we get a palindrome (77576867577).

The spelling of 33412446144 in words is "thirty-three billion, four hundred twelve million, four hundred forty-six thousand, one hundred forty-four".