33124764948 has 72 divisors (see below), whose sum is σ = 85498064736. Its totient is φ = 9973803840.

The previous prime is 33124764947. The next prime is 33124765007. The reversal of 33124764948 is 84946742133.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 33124764948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33124764941) 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 23 ways as a sum of consecutive naturals, for example, 155311 + ... + 300617.

Almost surely, 2^33124764948 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 33124764948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42749032368).

33124764948 is an abundant number, since it is smaller than the sum of its proper divisors (52373299788).

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

33124764948 is a wasteful number, since it uses less digits than its factorization.

33124764948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145493 (or 145480 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 33124764948 in words is "thirty-three billion, one hundred twenty-four million, seven hundred sixty-four thousand, nine hundred forty-eight".