95279450112 has 864 divisors, whose sum is σ = 367040419200. Its totient is φ = 23227269120.

The previous prime is 95279450099. The next prime is 95279450159. The reversal of 95279450112 is 21105497259.

95279450112 is a `hidden beast` number, since 9 + 52 + 7 + 94 + 501 + 1 + 2 = 666.

It is a super-2 number, since 2×95279450112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265402189 + ... + 265402547.

It is an arithmetic number, because the mean of its divisors is an integer number (424815300).

Almost surely, 2^95279450112 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 95279450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183520209600).

95279450112 is an abundant number, since it is smaller than the sum of its proper divisors (271760969088).

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

95279450112 is a wasteful number, since it uses less digits than its factorization.

95279450112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 95279450112 in words is "ninety-five billion, two hundred seventy-nine million, four hundred fifty thousand, one hundred twelve".