95338809216 has 1280 divisors, whose sum is σ = 373222080000. Its totient is φ = 23995367424.

The previous prime is 95338809193. The next prime is 95338809253. The reversal of 95338809216 is 61290883359.

95338809216 is a `hidden beast` number, since 9 + 533 + 8 + 8 + 0 + 92 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1148660311 + ... + 1148660393.

It is an arithmetic number, because the mean of its divisors is an integer number (291579750).

Almost surely, 2^95338809216 is an apocalyptic number.

95338809216 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 95338809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040000).

95338809216 is an abundant number, since it is smaller than the sum of its proper divisors (277883270784).

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

95338809216 is a wasteful number, since it uses less digits than its factorization.

95338809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 95338809216 in words is "ninety-five billion, three hundred thirty-eight million, eight hundred nine thousand, two hundred sixteen".