9446949533952 has 1080 divisors, whose sum is σ = 34593494775840. Its totient is φ = 2549612298240.

The previous prime is 9446949533939. The next prime is 9446949533977. The reversal of 9446949533952 is 2593359496449.

9446949533952 is a `hidden beast` number, since 9 + 4 + 46 + 9 + 49 + 533 + 9 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11023277908 + ... + 11023278764.

Almost surely, 2^{9446949533952} 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 9446949533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296747387920).

9446949533952 is an abundant number, since it is smaller than the sum of its proper divisors (25146545241888).

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

9446949533952 is a wasteful number, since it uses less digits than its factorization.

9446949533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1459 counting only the distinct ones).

The product of its digits is 1133740800, while the sum is 72.

The spelling of 9446949533952 in words is "nine trillion, four hundred forty-six billion, nine hundred forty-nine million, five hundred thirty-three thousand, nine hundred fifty-two".