95201238048 has 384 divisors, whose sum is σ = 301771008000. Its totient is φ = 25707601920.

The previous prime is 95201238047. The next prime is 95201238053. The reversal of 95201238048 is 84083210259.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (95201238047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227210383 + ... + 227210801.

It is an arithmetic number, because the mean of its divisors is an integer number (785862000).

Almost surely, 2^95201238048 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 95201238048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504000).

95201238048 is an abundant number, since it is smaller than the sum of its proper divisors (206569769952).

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

95201238048 is a wasteful number, since it uses less digits than its factorization.

95201238048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 95201238048 in words is "ninety-five billion, two hundred one million, two hundred thirty-eight thousand, forty-eight".