33315000096 has 384 divisors, whose sum is σ = 109460574720. Its totient is φ = 8654487552.

The previous prime is 33315000077. The next prime is 33315000179. The reversal of 33315000096 is 69000051333.

It is a super-2 number, since 2×33315000096² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 113702926 + ... + 113703218.

It is an arithmetic number, because the mean of its divisors is an integer number (285053580).

Almost surely, 2^33315000096 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 33315000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54730287360).

33315000096 is an abundant number, since it is smaller than the sum of its proper divisors (76145574624).

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

33315000096 is a wasteful number, since it uses less digits than its factorization.

33315000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The spelling of 33315000096 in words is "thirty-three billion, three hundred fifteen million, ninety-six", and thus it is an aban number.