33245372160 has 1728 divisors, whose sum is σ = 163674362880. Its totient is φ = 6171033600.

The previous prime is 33245372143. The next prime is 33245372179. The reversal of 33245372160 is 6127354233.

33245372160 is a `hidden beast` number, since 33 + 245 + 372 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×33245372160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1072431345 + ... + 1072431375.

It is an arithmetic number, because the mean of its divisors is an integer number (94718960).

Almost surely, 2^33245372160 is an apocalyptic number.

33245372160 is a gapful number since it is divisible by the number (30) 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 33245372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81837181440).

33245372160 is an abundant number, since it is smaller than the sum of its proper divisors (130428990720).

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

33245372160 is a wasteful number, since it uses less digits than its factorization.

33245372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 33245372160 in words is "thirty-three billion, two hundred forty-five million, three hundred seventy-two thousand, one hundred sixty".