33505004148 has 48 divisors (see below), whose sum is σ = 97469105664. Its totient is φ = 8702598240.

The previous prime is 33505004147. The next prime is 33505004171. The reversal of 33505004148 is 84140050533.

It is a super-2 number, since 2×33505004148² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33505004147) 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 15 ways as a sum of consecutive naturals, for example, 18129490 + ... + 18131337.

It is an arithmetic number, because the mean of its divisors is an integer number (2030606368).

Almost surely, 2^33505004148 is an apocalyptic number.

It is an amenable number.

33505004148 is an abundant number, since it is smaller than the sum of its proper divisors (63964101516).

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

33505004148 is a wasteful number, since it uses less digits than its factorization.

33505004148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36260852 (or 36260850 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 33505004148 in words is "thirty-three billion, five hundred five million, four thousand, one hundred forty-eight".