33612849648 has 120 divisors (see below), whose sum is σ = 107852252768. Its totient is φ = 9572898816.

The previous prime is 33612849637. The next prime is 33612849661. The reversal of 33612849648 is 84694821633.

33612849648 is a `hidden beast` number, since 33 + 61 + 28 + 496 + 48 = 666.

It is a super-2 number, since 2×33612849648² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33612849594 and 33612849603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262236 + ... + 368772.

Almost surely, 2^33612849648 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 33612849648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53926126384).

33612849648 is an abundant number, since it is smaller than the sum of its proper divisors (74239403120).

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

33612849648 is a wasteful number, since it uses less digits than its factorization.

33612849648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106871 (or 106862 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 33612849648 in words is "thirty-three billion, six hundred twelve million, eight hundred forty-nine thousand, six hundred forty-eight".