48936404647936 has 171 divisors, whose sum is σ = 106081347477213. Its totient is φ = 22564542873600.

The previous prime is 48936404647771. The next prime is 48936404647967. The reversal of 48936404647936 is 63974640463984.

The square root of 48936404647936 is 6995456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7239113113600 + 41697291534336 = 2690560^2 + 6457344^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 46561754611 + ... + 46561755661.

Almost surely, 2^{48936404647936} is an apocalyptic number.

48936404647936 is the 6995456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48936404647936

48936404647936 is an abundant number, since it is smaller than the sum of its proper divisors (57144942829277).

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

48936404647936 is an frugal number, since it uses more digits than its factorization.

48936404647936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 73.

The spelling of 48936404647936 in words is "forty-eight trillion, nine hundred thirty-six billion, four hundred four million, six hundred forty-seven thousand, nine hundred thirty-six".