33676591104 has 400 divisors, whose sum is σ = 110129735100. Its totient is φ = 10192158720.

The previous prime is 33676591093. The next prime is 33676591141. The reversal of 33676591104 is 40119567633.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26011238400 + 7665352704 = 161280^2 + 87552^2 .

It is a super-2 number, since 2×33676591104² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33676591104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 552075234 + ... + 552075294.

Almost surely, 2^33676591104 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 33676591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55064867550).

33676591104 is an abundant number, since it is smaller than the sum of its proper divisors (76453143996).

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

33676591104 is an frugal number, since it uses more digits than its factorization.

33676591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 33676591104 in words is "thirty-three billion, six hundred seventy-six million, five hundred ninety-one thousand, one hundred four".