48105386781408 has 864 divisors, whose sum is σ = 160347625401600. Its totient is φ = 14069185228800.

The previous prime is 48105386781367. The next prime is 48105386781427. The reversal of 48105386781408 is 80418768350184.

It is a happy number.

48105386781408 is a `hidden beast` number, since 4 + 8 + 10 + 538 + 6 + 7 + 81 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×48105386781408³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49237857016 + ... + 49237857992.

It is an arithmetic number, because the mean of its divisors is an integer number (185587529400).

Almost surely, 2^{48105386781408} is an apocalyptic number.

48105386781408 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 48105386781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80173812700800).

48105386781408 is an abundant number, since it is smaller than the sum of its proper divisors (112242238620192).

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

48105386781408 is a wasteful number, since it uses less digits than its factorization.

48105386781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 48105386781408 in words is "forty-eight trillion, one hundred five billion, three hundred eighty-six million, seven hundred eighty-one thousand, four hundred eight".