33854278944249 has 9 divisors (see below), whose sum is σ = 48900650354959. Its totient is φ = 22569507659280.

The previous prime is 33854278944229. The next prime is 33854278944263. The reversal of 33854278944249 is 94244987245833.

The square root of 33854278944249 is 5818443.

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

33854278944249 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 42 + 78 + 94 + 424 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32197601049849 + 1656677894400 = 5674293^2 + 1287120^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 33854278944249 - 2¹¹ = 33854278942201 is a prime.

It is a super-2 number, since 2×33854278944249² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33854278944229) 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, 16485589 + ... + 18425069.

Almost surely, 2^{33854278944249} is an apocalyptic number.

33854278944249 is the 5818443-rd square number.

33854278944249 is the 2909222-nd centered octagonal number.

It is an amenable number.

33854278944249 is a deficient number, since it is larger than the sum of its proper divisors (15046371410710).

33854278944249 is an frugal number, since it uses more digits than its factorization.

33854278944249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878968 (or 1939484 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 33854278944249 in words is "thirty-three trillion, eight hundred fifty-four billion, two hundred seventy-eight million, nine hundred forty-four thousand, two hundred forty-nine".