48038320512 has 384 divisors, whose sum is σ = 177622351200. Its totient is φ = 12668866560.

The previous prime is 48038320489. The next prime is 48038320531. The reversal of 48038320512 is 21502383084.

48038320512 is a `hidden beast` number, since 4 + 80 + 38 + 32 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48038320512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2190562 + ... + 2212382.

Almost surely, 2^48038320512 is an apocalyptic number.

48038320512 is a gapful number since it is divisible by the number (42) 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 48038320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88811175600).

48038320512 is an abundant number, since it is smaller than the sum of its proper divisors (129584030688).

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

48038320512 is a wasteful number, since it uses less digits than its factorization.

48038320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21871 (or 21846 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 48038320512 in words is "forty-eight billion, thirty-eight million, three hundred twenty thousand, five hundred twelve".