95113294848 has 726 divisors, whose sum is σ = 337597229522. Its totient is φ = 26605117440.

The previous prime is 95113294847. The next prime is 95113294921. The reversal of 95113294848 is 84849231159.

It is a happy number.

95113294848 is a `hidden beast` number, since 9 + 511 + 32 + 94 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65847665664 + 29265629184 = 256608^2 + 171072^2 .

It is a tau number, because it is divible by the number of its divisors (726).

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

It is a junction number, because it is equal to n+sod(n) for n = 95113294794 and 95113294803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95113294847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 7316407290 + ... + 7316407302.

Almost surely, 2^95113294848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95113294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168798614761).

95113294848 is an abundant number, since it is smaller than the sum of its proper divisors (242483934674).

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

95113294848 is an equidigital number, since it uses as much as digits as its factorization.

95113294848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 95113294848 in words is "ninety-five billion, one hundred thirteen million, two hundred ninety-four thousand, eight hundred forty-eight".