33448752100 has 27 divisors (see below), whose sum is σ = 72587760987. Its totient is φ = 13378769280.

The previous prime is 33448752097. The next prime is 33448752107. The reversal of 33448752100 is 125784433.

It is a happy number.

The square root of 33448752100 is 182890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8406322596 + 25042429504 = 91686^2 + 158248^2 .

It is a super-2 number, since 2×33448752100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33448752100.

It is not an unprimeable number, because it can be changed into a prime (33448752107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1819756 + ... + 1838044.

Almost surely, 2^33448752100 is an apocalyptic number.

33448752100 is the 182890-th square number.

It is an amenable number.

33448752100 is an abundant number, since it is smaller than the sum of its proper divisors (39139008887).

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

33448752100 is an frugal number, since it uses more digits than its factorization.

33448752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36592 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 33448752100 in words is "thirty-three billion, four hundred forty-eight million, seven hundred fifty-two thousand, one hundred".