49255691778048 has 768 divisors, whose sum is σ = 155137731840000. Its totient is φ = 13890733473792.

The previous prime is 49255691778047. The next prime is 49255691778071. The reversal of 49255691778048 is 84087719655294.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×49255691778048² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49255691778043) by changing a digit.

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, 60884661868 + ... + 60884662676.

It is an arithmetic number, because the mean of its divisors is an integer number (202002255000).

Almost surely, 2^{49255691778048} is an apocalyptic number.

49255691778048 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 49255691778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77568865920000).

49255691778048 is an abundant number, since it is smaller than the sum of its proper divisors (105882040061952).

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

49255691778048 is a wasteful number, since it uses less digits than its factorization.

49255691778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 75.

The spelling of 49255691778048 in words is "forty-nine trillion, two hundred fifty-five billion, six hundred ninety-one million, seven hundred seventy-eight thousand, forty-eight".