33552104004 has 36 divisors (see below), whose sum is σ = 84854247660. Its totient is φ = 11178498240.

The previous prime is 33552103993. The next prime is 33552104023. The reversal of 33552104004 is 40040125533.

33552104004 is a `hidden beast` number, since 3 + 3 + 552 + 104 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29570241600 + 3981862404 = 171960^2 + 63102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33552104004² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156627 + ... + 302714.

It is an arithmetic number, because the mean of its divisors is an integer number (2357062435).

Almost surely, 2^33552104004 is an apocalyptic number.

It is an amenable number.

33552104004 is an abundant number, since it is smaller than the sum of its proper divisors (51302143656).

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

33552104004 is a wasteful number, since it uses less digits than its factorization.

33552104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461380 (or 461375 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 33552104004 its reverse (40040125533), we get a palindrome (73592229537).

The spelling of 33552104004 in words is "thirty-three billion, five hundred fifty-two million, one hundred four thousand, four".