33240114000 has 120 divisors (see below), whose sum is σ = 116096701032. Its totient is φ = 8864025600.

The previous prime is 33240113989. The next prime is 33240114007. The reversal of 33240114000 is 41104233.

It can be written as a sum of positive squares in 4 ways, for example, as 206324496 + 33033789504 = 14364^2 + 181752^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33240114000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33240114007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 905337 + ... + 941336.

Almost surely, 2^33240114000 is an apocalyptic number.

33240114000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33240114000 is an abundant number, since it is smaller than the sum of its proper divisors (82856587032).

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

33240114000 is a wasteful number, since it uses less digits than its factorization.

33240114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846702 (or 1846683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33240114000 its reverse (41104233), we get a palindrome (33281218233).

The spelling of 33240114000 in words is "thirty-three billion, two hundred forty million, one hundred fourteen thousand".