48427735538688 has 264 divisors, whose sum is σ = 143256228495744. Its totient is φ = 14532583464960.

The previous prime is 48427735538629. The next prime is 48427735538813. The reversal of 48427735538688 is 88683553772484.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×48427735538688² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37653895 + ... + 38918777.

Almost surely, 2^{48427735538688} is an apocalyptic number.

48427735538688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48427735538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628114247872).

48427735538688 is an abundant number, since it is smaller than the sum of its proper divisors (94828492957056).

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

48427735538688 is a wasteful number, since it uses less digits than its factorization.

48427735538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265031 (or 1265002 counting only the distinct ones).

The product of its digits is 8670412800, while the sum is 78.

The spelling of 48427735538688 in words is "forty-eight trillion, four hundred twenty-seven billion, seven hundred thirty-five million, five hundred thirty-eight thousand, six hundred eighty-eight".