952906000816 has 160 divisors (see below), whose sum is σ = 2359120006656. Its totient is φ = 362029824000.

The previous prime is 952906000811. The next prime is 952906000829. The reversal of 952906000816 is 618000609259.

952906000816 is a nontrivial binomial coefficient, being equal to C(1380512, 2).

It is a super-2 number, since 2×952906000816² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (952906000811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154614151 + ... + 154620313.

Almost surely, 2^952906000816 is an apocalyptic number.

952906000816 is the 1380511-st triangular number and also the 690256-th hexagonal number.

952906000816 is the 460171-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952906000816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179560003328).

952906000816 is an abundant number, since it is smaller than the sum of its proper divisors (1406214005840).

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

952906000816 is a wasteful number, since it uses less digits than its factorization.

952906000816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 952906000816 in words is "nine hundred fifty-two billion, nine hundred six million, eight hundred sixteen", and thus it is an aban number.