49135838925888 has 448 divisors, whose sum is σ = 170745078067200. Its totient is φ = 13659958609920.

The previous prime is 49135838925841. The next prime is 49135838925923. The reversal of 49135838925888 is 88852983853194.

49135838925888 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 583 + 8 + 9 + 25 + 8 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39667993 + ... + 40887911.

It is an arithmetic number, because the mean of its divisors is an integer number (381127406400).

Almost surely, 2^{49135838925888} is an apocalyptic number.

49135838925888 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 49135838925888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85372539033600).

49135838925888 is an abundant number, since it is smaller than the sum of its proper divisors (121609239141312).

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

49135838925888 is a wasteful number, since it uses less digits than its factorization.

49135838925888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220127 (or 1220111 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 81.

The spelling of 49135838925888 in words is "forty-nine trillion, one hundred thirty-five billion, eight hundred thirty-eight million, nine hundred twenty-five thousand, eight hundred eighty-eight".