48003403383936 has 2304 divisors, whose sum is σ = 197567717518080. Its totient is φ = 10892113182720.

The previous prime is 48003403383893. The next prime is 48003403383967. The reversal of 48003403383936 is 63938330430084.

48003403383936 is a `hidden beast` number, since 480 + 0 + 3 + 40 + 3 + 38 + 3 + 93 + 6 = 666.

It is a super-3 number, since 3×48003403383936³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50370832036 + ... + 50370832988.

It is an arithmetic number, because the mean of its divisors is an integer number (85749877395).

Almost surely, 2^{48003403383936} 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 48003403383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98783858759040).

48003403383936 is an abundant number, since it is smaller than the sum of its proper divisors (149564314134144).

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

48003403383936 is a wasteful number, since it uses less digits than its factorization.

48003403383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 48003403383936 in words is "forty-eight trillion, three billion, four hundred three million, three hundred eighty-three thousand, nine hundred thirty-six".