293292214272 has 108 divisors (see below), whose sum is σ = 847294169085. Its totient is φ = 97739563008.

The previous prime is 293292214253. The next prime is 293292214279. The reversal of 293292214272 is 272412292392.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

293292214272 is a `hidden beast` number, since 2 + 93 + 292 + 2 + 1 + 4 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 293053326336 + 238887936 = 541344^2 + 15456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=382944.

It is not an unprimeable number, because it can be changed into a prime (293292214279) 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, 73523254 + ... + 73527242.

Almost surely, 2^293292214272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293292214272

293292214272 is an abundant number, since it is smaller than the sum of its proper divisors (554001954813).

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

293292214272 is an frugal number, since it uses more digits than its factorization.

293292214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 3994 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 293292214272 in words is "two hundred ninety-three billion, two hundred ninety-two million, two hundred fourteen thousand, two hundred seventy-two".