33156084129424 has 135 divisors (see below), whose sum is σ = 66277644784113. Its totient is φ = 16068228573696.

The previous prime is 33156084129409. The next prime is 33156084129431. The reversal of 33156084129424 is 42492148065133.

The square root of 33156084129424 is 5758132.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2707406976400 + 30448677153024 = 1645420^2 + 5518032^2 .

It is a Duffinian number.

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 in 26 ways as a sum of consecutive naturals, for example, 191653665402 + ... + 191653665574.

Almost surely, 2^{33156084129424} is an apocalyptic number.

33156084129424 is the 5758132-nd square number.

It is an amenable number.

33156084129424 is a deficient number, since it is larger than the sum of its proper divisors (33121560654689).

33156084129424 is an frugal number, since it uses more digits than its factorization.

33156084129424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 33156084129424 in words is "thirty-three trillion, one hundred fifty-six billion, eighty-four million, one hundred twenty-nine thousand, four hundred twenty-four".