48095244288000 has 4096 divisors, whose sum is σ = 225341415936000. Its totient is φ = 9975575347200.

The previous prime is 48095244287989. The next prime is 48095244288001. The reversal of 48095244288000 is 88244259084.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a super-3 number, since 3×48095244288000³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48095244288001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 815173631971 + ... + 815173632029.

It is an arithmetic number, because the mean of its divisors is an integer number (55014994125).

Almost surely, 2^{48095244288000} is an apocalyptic number.

48095244288000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48095244288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112670707968000).

48095244288000 is an abundant number, since it is smaller than the sum of its proper divisors (177246171648000).

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

48095244288000 is an frugal number, since it uses more digits than its factorization.

48095244288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48095244288000 in words is "forty-eight trillion, ninety-five billion, two hundred forty-four million, two hundred eighty-eight thousand".