95748390816 has 192 divisors, whose sum is σ = 276391704960. Its totient is φ = 28844605440.

The previous prime is 95748390757. The next prime is 95748390817. The reversal of 95748390816 is 61809384759.

It is a super-3 number, since 3×95748390816³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95748390816.

It is not an unprimeable number, because it can be changed into a prime (95748390817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12659676 + ... + 12667236.

It is an arithmetic number, because the mean of its divisors is an integer number (1439540130).

Almost surely, 2^95748390816 is an apocalyptic number.

95748390816 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 95748390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138195852480).

95748390816 is an abundant number, since it is smaller than the sum of its proper divisors (180643314144).

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

95748390816 is a wasteful number, since it uses less digits than its factorization.

95748390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 95748390816 in words is "ninety-five billion, seven hundred forty-eight million, three hundred ninety thousand, eight hundred sixteen".