49148482596480 has 960 divisors, whose sum is σ = 189159480338400. Its totient is φ = 12127254515712.

The previous prime is 49148482596307. The next prime is 49148482596497. The reversal of 49148482596480 is 8469528484194.

49148482596480 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 8 + 482 + 5 + 9 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49148482596399 and 49148482596408.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1821177547 + ... + 1821204533.

Almost surely, 2^{49148482596480} is an apocalyptic number.

49148482596480 is a gapful number since it is divisible by the number (40) 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 49148482596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94579740169200).

49148482596480 is an abundant number, since it is smaller than the sum of its proper divisors (140010997741920).

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

49148482596480 is a wasteful number, since it uses less digits than its factorization.

49148482596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27123 (or 27059 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 49148482596480 in words is "forty-nine trillion, one hundred forty-eight billion, four hundred eighty-two million, five hundred ninety-six thousand, four hundred eighty".