49198282848 has 960 divisors, whose sum is σ = 184415616000. Its totient is φ = 12645642240.

The previous prime is 49198282823. The next prime is 49198282849. The reversal of 49198282848 is 84828289194.

49198282848 is a `hidden beast` number, since 491 + 9 + 82 + 8 + 28 + 48 = 666.

It is a super-2 number, since 2×49198282848² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49198282849) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 247227453 + ... + 247227651.

It is an arithmetic number, because the mean of its divisors is an integer number (192099600).

Almost surely, 2^49198282848 is an apocalyptic number.

49198282848 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 49198282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808000).

49198282848 is an abundant number, since it is smaller than the sum of its proper divisors (135217333152).

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

49198282848 is a wasteful number, since it uses less digits than its factorization.

49198282848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 49198282848 in words is "forty-nine billion, one hundred ninety-eight million, two hundred eighty-two thousand, eight hundred forty-eight".