249717166272 has 896 divisors, whose sum is σ = 903280896000. Its totient is φ = 66142863360.

The previous prime is 249717166271. The next prime is 249717166337. The reversal of 249717166272 is 272661717942.

249717166272 is a `hidden beast` number, since 2 + 4 + 9 + 7 + 1 + 7 + 1 + 6 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (249717166271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1395067879 + ... + 1395068057.

It is an arithmetic number, because the mean of its divisors is an integer number (1008126000).

Almost surely, 2^249717166272 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 249717166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451640448000).

249717166272 is an abundant number, since it is smaller than the sum of its proper divisors (653563729728).

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

249717166272 is a wasteful number, since it uses less digits than its factorization.

249717166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 249717166272 in words is "two hundred forty-nine billion, seven hundred seventeen million, one hundred sixty-six thousand, two hundred seventy-two".