33144152646 has 64 divisors (see below), whose sum is σ = 76660286976. Its totient is φ = 9441523200.

The previous prime is 33144152617. The next prime is 33144152651. The reversal of 33144152646 is 64625144133.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 939751 + ... + 974381.

It is an arithmetic number, because the mean of its divisors is an integer number (1197816984).

Almost surely, 2^33144152646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33144152646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330143488).

33144152646 is an abundant number, since it is smaller than the sum of its proper divisors (43516134330).

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

33144152646 is a wasteful number, since it uses less digits than its factorization.

33144152646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35517.

The product of its digits is 207360, while the sum is 39.

Adding to 33144152646 its reverse (64625144133), we get a palindrome (97769296779).

The spelling of 33144152646 in words is "thirty-three billion, one hundred forty-four million, one hundred fifty-two thousand, six hundred forty-six".