8949249792 has 288 divisors, whose sum is σ = 31068800000. Its totient is φ = 2487324672.

The previous prime is 8949249763. The next prime is 8949249851. The reversal of 8949249792 is 2979429498.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8949249792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1787709 + ... + 1792707.

Almost surely, 2^8949249792 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 8949249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534400000).

8949249792 is an abundant number, since it is smaller than the sum of its proper divisors (22119550208).

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

8949249792 is a wasteful number, since it uses less digits than its factorization.

8949249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5048 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 8949249792 is about 94600.4745865474. The cubic root of 8949249792 is about 2076.1666477202.

The spelling of 8949249792 in words is "eight billion, nine hundred forty-nine million, two hundred forty-nine thousand, seven hundred ninety-two".