950958268416 has 504 divisors, whose sum is σ = 3074240264004. Its totient is φ = 292387553280.

The previous prime is 950958268411. The next prime is 950958268423. The reversal of 950958268416 is 614862859059.

950958268416 is a `hidden beast` number, since 9 + 5 + 0 + 9 + 582 + 6 + 8 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 823011840000 + 127946428416 = 907200^2 + 357696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950958268411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698719576 + ... + 698720936.

Almost surely, 2^950958268416 is an apocalyptic number.

950958268416 is a gapful number since it is divisible by the number (96) 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 950958268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537120132002).

950958268416 is an abundant number, since it is smaller than the sum of its proper divisors (2123281995588).

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

950958268416 is an frugal number, since it uses more digits than its factorization.

950958268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 950958268416 in words is "nine hundred fifty billion, nine hundred fifty-eight million, two hundred sixty-eight thousand, four hundred sixteen".