33472615552 has 128 divisors (see below), whose sum is σ = 73833638400. Its totient is φ = 15052677120.

The previous prime is 33472615549. The next prime is 33472615573. The reversal of 33472615552 is 25551627433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33472615552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33472615499 and 33472615508.

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 15 ways as a sum of consecutive naturals, for example, 3991588 + ... + 3999964.

It is an arithmetic number, because the mean of its divisors is an integer number (576825300).

Almost surely, 2^33472615552 is an apocalyptic number.

33472615552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33472615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36916819200).

33472615552 is an abundant number, since it is smaller than the sum of its proper divisors (40361022848).

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

33472615552 is a wasteful number, since it uses less digits than its factorization.

33472615552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8482 counting only the distinct ones).

The product of its digits is 756000, while the sum is 43.

The spelling of 33472615552 in words is "thirty-three billion, four hundred seventy-two million, six hundred fifteen thousand, five hundred fifty-two".