950531171616 has 576 divisors, whose sum is σ = 3089380694400. Its totient is φ = 285700939776.

The previous prime is 950531171609. The next prime is 950531171617. The reversal of 950531171616 is 616171135059.

950531171616 is a `hidden beast` number, since 9 + 50 + 531 + 1 + 7 + 1 + 61 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (950531171617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1174945420 + ... + 1174946228.

It is an arithmetic number, because the mean of its divisors is an integer number (5363508150).

Almost surely, 2^950531171616 is an apocalyptic number.

950531171616 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 950531171616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544690347200).

950531171616 is an abundant number, since it is smaller than the sum of its proper divisors (2138849522784).

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

950531171616 is a wasteful number, since it uses less digits than its factorization.

950531171616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 950531171616 in words is "nine hundred fifty billion, five hundred thirty-one million, one hundred seventy-one thousand, six hundred sixteen".