95045094144 has 1440 divisors, whose sum is σ = 402208181760. Its totient is φ = 21499084800.

The previous prime is 95045094127. The next prime is 95045094167. The reversal of 95045094144 is 44149054059.

95045094144 is a `hidden beast` number, since 9 + 50 + 450 + 9 + 4 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 95045094144.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 394377864 + ... + 394378104.

Almost surely, 2^95045094144 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 95045094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201104090880).

95045094144 is an abundant number, since it is smaller than the sum of its proper divisors (307163087616).

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

95045094144 is a wasteful number, since it uses less digits than its factorization.

95045094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 95045094144 in words is "ninety-five billion, forty-five million, ninety-four thousand, one hundred forty-four".