33085633952 has 48 divisors (see below), whose sum is σ = 77679326592. Its totient is φ = 13563052800.

The previous prime is 33085633943. The next prime is 33085633961. The reversal of 33085633952 is 25933658033.

It is an interprime number because it is at equal distance from previous prime (33085633943) and next prime (33085633961).

It is a junction number, because it is equal to n+sod(n) for n = 33085633897 and 33085633906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3205799 + ... + 3216102.

It is an arithmetic number, because the mean of its divisors is an integer number (1618319304).

Almost surely, 2^33085633952 is an apocalyptic number.

33085633952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33085633952 is an abundant number, since it is smaller than the sum of its proper divisors (44593692640).

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

33085633952 is a wasteful number, since it uses less digits than its factorization.

33085633952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421941 (or 6421933 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 47.

The spelling of 33085633952 in words is "thirty-three billion, eighty-five million, six hundred thirty-three thousand, nine hundred fifty-two".