48581997767424 has 1728 divisors, whose sum is σ = 165935805235200. Its totient is φ = 13531882291200.

The previous prime is 48581997767383. The next prime is 48581997767437. The reversal of 48581997767424 is 42476779918584.

48581997767424 is a `hidden beast` number, since 4 + 8 + 58 + 19 + 9 + 77 + 67 + 424 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290910166189 + ... + 290910166355.

Almost surely, 2^{48581997767424} is an apocalyptic number.

48581997767424 is a gapful number since it is divisible by the number (44) 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 48581997767424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82967902617600).

48581997767424 is an abundant number, since it is smaller than the sum of its proper divisors (117353807467776).

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

48581997767424 is a wasteful number, since it uses less digits than its factorization.

48581997767424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 48581997767424 in words is "forty-eight trillion, five hundred eighty-one billion, nine hundred ninety-seven million, seven hundred sixty-seven thousand, four hundred twenty-four".