9490817952 has 576 divisors, whose sum is σ = 35452505088. Its totient is φ = 2446329600.

The previous prime is 9490817923. The next prime is 9490817969. The reversal of 9490817952 is 2597180949.

9490817952 is a `hidden beast` number, since 9 + 490 + 81 + 79 + 5 + 2 = 666.

It is a super-4 number, since 4×9490817952⁴ (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72448927 + ... + 72449057.

It is an arithmetic number, because the mean of its divisors is an integer number (61549488).

Almost surely, 2^9490817952 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 9490817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726252544).

9490817952 is an abundant number, since it is smaller than the sum of its proper divisors (25961687136).

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

9490817952 is a wasteful number, since it uses less digits than its factorization.

9490817952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 9490817952 is about 97420.8291485963. The cubic root of 9490817952 is about 2117.2292294466.

The spelling of 9490817952 in words is "nine billion, four hundred ninety million, eight hundred seventeen thousand, nine hundred fifty-two".