33138212352 has 320 divisors, whose sum is σ = 106326528000. Its totient is φ = 9158123520.

The previous prime is 33138212347. The next prime is 33138212369. The reversal of 33138212352 is 25321283133.

It is a happy number.

It is a super-2 number, since 2×33138212352² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16331274 + ... + 16333302.

It is an arithmetic number, because the mean of its divisors is an integer number (332270400).

Almost surely, 2^33138212352 is an apocalyptic number.

33138212352 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 33138212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53163264000).

33138212352 is an abundant number, since it is smaller than the sum of its proper divisors (73188315648).

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

33138212352 is an equidigital number, since it uses as much as digits as its factorization.

33138212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2072 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

Adding to 33138212352 its reverse (25321283133), we get a palindrome (58459495485).

The spelling of 33138212352 in words is "thirty-three billion, one hundred thirty-eight million, two hundred twelve thousand, three hundred fifty-two".