949865398272 has 720 divisors, whose sum is σ = 3320356129440. Its totient is φ = 270888468480.

The previous prime is 949865398259. The next prime is 949865398289. The reversal of 949865398272 is 272893568949.

949865398272 is a `hidden beast` number, since 9 + 4 + 9 + 8 + 6 + 539 + 82 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 949865398272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755758322 + ... + 1755758862.

Almost surely, 2^949865398272 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 949865398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660178064720).

949865398272 is an abundant number, since it is smaller than the sum of its proper divisors (2370490731168).

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

949865398272 is an frugal number, since it uses more digits than its factorization.

949865398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 553 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 949865398272 in words is "nine hundred forty-nine billion, eight hundred sixty-five million, three hundred ninety-eight thousand, two hundred seventy-two".