33468873025 has 27 divisors (see below), whose sum is σ = 48286379619. Its totient is φ = 22945693680.

The previous prime is 33468873023. The next prime is 33468873037. The reversal of 33468873025 is 52037886433.

The square root of 33468873025 is 182945.

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

It can be written as a sum of positive squares in only one way, i.e., 12048794289 + 21420078736 = 109767^2 + 146356^2 .

It is not a de Polignac number, because 33468873025 - 2¹ = 33468873023 is a prime.

It is a super-2 number, since 2×33468873025² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 33468873025.

It is not an unprimeable number, because it can be changed into a prime (33468873023) 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 26 ways as a sum of consecutive naturals, for example, 6400462 + ... + 6405688.

Almost surely, 2^33468873025 is an apocalyptic number.

33468873025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33468873025 is the 182945-th square number.

33468873025 is the 91473-rd centered octagonal number.

It is an amenable number.

33468873025 is a deficient number, since it is larger than the sum of its proper divisors (14817506594).

33468873025 is an frugal number, since it uses more digits than its factorization.

33468873025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10478 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 33468873025 by its sum of digits (49), we get a square (1639974778225 = 1280615²).

33468873025 divided by its sum of digits (49) gives a square (683038225 = 26135²).

The spelling of 33468873025 in words is "thirty-three billion, four hundred sixty-eight million, eight hundred seventy-three thousand, twenty-five".