48251965440448 has 224 divisors, whose sum is σ = 124245930848256. Its totient is φ = 18193025664000.

The previous prime is 48251965440409. The next prime is 48251965440509. The reversal of 48251965440448 is 84404456915284.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 48251965440448.

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 31 ways as a sum of consecutive naturals, for example, 17179758 + ... + 19790098.

It is an arithmetic number, because the mean of its divisors is an integer number (554669334144).

Almost surely, 2^{48251965440448} 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 48251965440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62122965424128).

48251965440448 is an abundant number, since it is smaller than the sum of its proper divisors (75993965407808).

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

48251965440448 is a wasteful number, since it uses less digits than its factorization.

48251965440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610424 (or 2610392 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 64.

The spelling of 48251965440448 in words is "forty-eight trillion, two hundred fifty-one billion, nine hundred sixty-five million, four hundred forty thousand, four hundred forty-eight".