95949346896 has 120 divisors (see below), whose sum is σ = 289611645960. Its totient is φ = 29478878208.

The previous prime is 95949346877. The next prime is 95949346897. The reversal of 95949346896 is 69864394959.

95949346896 is a `hidden beast` number, since 9 + 5 + 9 + 493 + 46 + 8 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44630787600 + 51318559296 = 211260^2 + 226536^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95949346897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229490 + ... + 1305198.

It is an arithmetic number, because the mean of its divisors is an integer number (2413430383).

Almost surely, 2^95949346896 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 95949346896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144805822980).

95949346896 is an abundant number, since it is smaller than the sum of its proper divisors (193662299064).

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

95949346896 is a wasteful number, since it uses less digits than its factorization.

95949346896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76413 (or 76404 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 95949346896 in words is "ninety-five billion, nine hundred forty-nine million, three hundred forty-six thousand, eight hundred ninety-six".