95416738816 has 165 divisors, whose sum is σ = 223652368529. Its totient is φ = 40685309952.

The previous prime is 95416738789. The next prime is 95416738867. The reversal of 95416738816 is 61883761459.

The square root of 95416738816 is 308896.

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

It can be written as a sum of positive squares in only one way, i.e., 93489177600 + 1927561216 = 305760^2 + 43904^2 .

It is a super-2 number, since 2×95416738816² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 484348830 + ... + 484349026.

Almost surely, 2^95416738816 is an apocalyptic number.

95416738816 is the 308896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95416738816

95416738816 is an abundant number, since it is smaller than the sum of its proper divisors (128235629713).

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

95416738816 is an frugal number, since it uses more digits than its factorization.

95416738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 206 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 95416738816 in words is "ninety-five billion, four hundred sixteen million, seven hundred thirty-eight thousand, eight hundred sixteen".