49148596224 has 936 divisors, whose sum is σ = 187069334400. Its totient is φ = 12398690304.

The previous prime is 49148596219. The next prime is 49148596241. The reversal of 49148596224 is 42269584194.

49148596224 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 8 + 5 + 9 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

Its product of digits (4976640) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2136895477 + ... + 2136895499.

It is an arithmetic number, because the mean of its divisors is an integer number (199860400).

Almost surely, 2^49148596224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49148596224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93534667200).

49148596224 is an abundant number, since it is smaller than the sum of its proper divisors (137920738176).

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

49148596224 is a wasteful number, since it uses less digits than its factorization.

49148596224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 49148596224 in words is "forty-nine billion, one hundred forty-eight million, five hundred ninety-six thousand, two hundred twenty-four".