48486344667516 has 288 divisors, whose sum is σ = 147803552612352. Its totient is φ = 13108941970560.

The previous prime is 48486344667493. The next prime is 48486344667529. The reversal of 48486344667516 is 61576644368484.

48486344667516 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 6 + 3 + 4 + 46 + 67 + 516 = 666.

48486344667516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48486344667516² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399046525 + ... + 399168011.

It is an arithmetic number, because the mean of its divisors is an integer number (513206779904).

Almost surely, 2^{48486344667516} 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 48486344667516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73901776306176).

48486344667516 is an abundant number, since it is smaller than the sum of its proper divisors (99317207944836).

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

48486344667516 is a wasteful number, since it uses less digits than its factorization.

48486344667516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122669 (or 122664 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 72.

The spelling of 48486344667516 in words is "forty-eight trillion, four hundred eighty-six billion, three hundred forty-four million, six hundred sixty-seven thousand, five hundred sixteen".