48095004672 has 576 divisors, whose sum is σ = 166134084480. Its totient is φ = 13212057600.

The previous prime is 48095004649. The next prime is 48095004709. The reversal of 48095004672 is 27640059084.

It is a happy number.

48095004672 is a `hidden beast` number, since 4 + 80 + 9 + 500 + 4 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×48095004672³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187139968 + ... + 187140224.

It is an arithmetic number, because the mean of its divisors is an integer number (288427230).

Almost surely, 2^48095004672 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 48095004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83067042240).

48095004672 is an abundant number, since it is smaller than the sum of its proper divisors (118039079808).

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

48095004672 is a wasteful number, since it uses less digits than its factorization.

48095004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 48095004672 in words is "forty-eight billion, ninety-five million, four thousand, six hundred seventy-two".