952051115008 has 264 divisors, whose sum is σ = 2281547700024. Its totient is φ = 395742412800.

The previous prime is 952051114981. The next prime is 952051115011. The reversal of 952051115008 is 800511150259.

It can be written as a sum of positive squares in 4 ways, for example, as 162028790784 + 790022324224 = 402528^2 + 888832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223431598 + ... + 223435858.

Almost surely, 2^952051115008 is an apocalyptic number.

952051115008 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952051115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140773850012).

952051115008 is an abundant number, since it is smaller than the sum of its proper divisors (1329496585016).

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

952051115008 is a wasteful number, since it uses less digits than its factorization.

952051115008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 37.

The spelling of 952051115008 in words is "nine hundred fifty-two billion, fifty-one million, one hundred fifteen thousand, eight".