33023513152 has 112 divisors (see below), whose sum is σ = 77565097600. Its totient is φ = 13941075456.

The previous prime is 33023513129. The next prime is 33023513167. The reversal of 33023513152 is 25131532033.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33023513152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459558 + ... + 1482010.

Almost surely, 2^33023513152 is an apocalyptic number.

33023513152 is a gapful number since it is divisible by the number (32) 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 33023513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38782548800).

33023513152 is an abundant number, since it is smaller than the sum of its proper divisors (44541584448).

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

33023513152 is an equidigital number, since it uses as much as digits as its factorization.

33023513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22553 (or 22529 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 33023513152 in words is "thirty-three billion, twenty-three million, five hundred thirteen thousand, one hundred fifty-two".