48518701411656 has 256 divisors, whose sum is σ = 145593262080000. Its totient is φ = 13181472840960.

The previous prime is 48518701411613. The next prime is 48518701411679. The reversal of 48518701411656 is 65611410781584.

It is a junction number, because it is equal to n+sod(n) for n = 48518701411596 and 48518701411605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644926315 + ... + 645001541.

It is an arithmetic number, because the mean of its divisors is an integer number (568723680000).

Almost surely, 2^{48518701411656} 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 48518701411656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72796631040000).

48518701411656 is an abundant number, since it is smaller than the sum of its proper divisors (97074560668344).

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

48518701411656 is a wasteful number, since it uses less digits than its factorization.

48518701411656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77432 (or 77428 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 48518701411656 in words is "forty-eight trillion, five hundred eighteen billion, seven hundred one million, four hundred eleven thousand, six hundred fifty-six".