950812209216 has 315 divisors, whose sum is σ = 2925310479949. Its totient is φ = 305353262592.

The previous prime is 950812209209. The next prime is 950812209223. The reversal of 950812209216 is 612902218059.

It is a happy number.

The square root of 950812209216 is 975096.

It is a perfect power (a square), and thus also a powerful number.

950812209216 is a `hidden beast` number, since 9 + 508 + 122 + 0 + 9 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (950812209209) and next prime (950812209223).

It can be written as a sum of positive squares in only one way, i.e., 498582858816 + 452229350400 = 706104^2 + 672480^2 .

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 2036000215 + ... + 2036000681.

Almost surely, 2^950812209216 is an apocalyptic number.

950812209216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

950812209216 is the 975096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950812209216

950812209216 is an abundant number, since it is smaller than the sum of its proper divisors (1974498270733).

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

950812209216 is an frugal number, since it uses more digits than its factorization.

950812209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 950812209216 in words is "nine hundred fifty billion, eight hundred twelve million, two hundred nine thousand, two hundred sixteen".