95117961744 has 225 divisors, whose sum is σ = 298557855453. Its totient is φ = 29222653824.

The previous prime is 95117961733. The next prime is 95117961779. The reversal of 95117961744 is 44716971159.

It is a happy number.

The square root of 95117961744 is 308412.

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

95117961744 is a `hidden beast` number, since 9 + 5 + 1 + 17 + 9 + 617 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14070704400 + 81047257344 = 118620^2 + 284688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 144336487 + ... + 144337145.

Almost surely, 2^95117961744 is an apocalyptic number.

95117961744 is the 308412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95117961744

95117961744 is an abundant number, since it is smaller than the sum of its proper divisors (203439893709).

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

95117961744 is an equidigital number, since it uses as much as digits as its factorization.

95117961744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 677 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 95117961744 in words is "ninety-five billion, one hundred seventeen million, nine hundred sixty-one thousand, seven hundred forty-four".