33535041274144 has 12 divisors (see below), whose sum is σ = 66022112508534. Its totient is φ = 16767520637056.

The previous prime is 33535041274001. The next prime is 33535041274157. The reversal of 33535041274144 is 44147214053533.

It can be written as a sum of positive squares in only one way, i.e., 32707647283600 + 827393990544 = 5719060^2 + 909612^2 .

It is a super-2 number, since 2×33535041274144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33535041274094 and 33535041274103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 523985019877 + ... + 523985019940.

Almost surely, 2^{33535041274144} is an apocalyptic number.

It is an amenable number.

33535041274144 is a deficient number, since it is larger than the sum of its proper divisors (32487071234390).

33535041274144 is a wasteful number, since it uses less digits than its factorization.

33535041274144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047970039827 (or 1047970039819 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 33535041274144 in words is "thirty-three trillion, five hundred thirty-five billion, forty-one million, two hundred seventy-four thousand, one hundred forty-four".