48137048064 has 728 divisors, whose sum is σ = 171893049600. Its totient is φ = 13460815872.

The previous prime is 48137048023. The next prime is 48137048081. The reversal of 48137048064 is 46084073184.

48137048064 is a `hidden beast` number, since 4 + 81 + 37 + 0 + 480 + 64 = 666.

It is a super-2 number, since 2×48137048064² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1024192489 + ... + 1024192535.

Almost surely, 2^48137048064 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 48137048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85946524800).

48137048064 is an abundant number, since it is smaller than the sum of its proper divisors (123756001536).

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

48137048064 is an frugal number, since it uses more digits than its factorization.

48137048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 48137048064 in words is "forty-eight billion, one hundred thirty-seven million, forty-eight thousand, sixty-four".