95165231616 has 960 divisors, whose sum is σ = 359718226560. Its totient is φ = 24617779200.

The previous prime is 95165231573. The next prime is 95165231633. The reversal of 95165231616 is 61613256159.

95165231616 is a `hidden beast` number, since 9 + 5 + 1 + 6 + 5 + 23 + 1 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 889394635 + ... + 889394741.

It is an arithmetic number, because the mean of its divisors is an integer number (374706486).

Almost surely, 2^95165231616 is an apocalyptic number.

95165231616 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 95165231616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179859113280).

95165231616 is an abundant number, since it is smaller than the sum of its proper divisors (264552994944).

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

95165231616 is a wasteful number, since it uses less digits than its factorization.

95165231616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 95165231616 in words is "ninety-five billion, one hundred sixty-five million, two hundred thirty-one thousand, six hundred sixteen".