49837196965248 has 3840 divisors, whose sum is σ = 207658270310400. Its totient is φ = 11752609075200.

The previous prime is 49837196965151. The next prime is 49837196965261. The reversal of 49837196965248 is 84256969173894.

It is a happy number.

49837196965248 is a `hidden beast` number, since 4 + 9 + 83 + 7 + 1 + 9 + 6 + 9 + 6 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 483856281165 + ... + 483856281267.

It is an arithmetic number, because the mean of its divisors is an integer number (54077674560).

Almost surely, 2^{49837196965248} is an apocalyptic number.

49837196965248 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 49837196965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103829135155200).

49837196965248 is an abundant number, since it is smaller than the sum of its proper divisors (157821073345152).

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

49837196965248 is a wasteful number, since it uses less digits than its factorization.

49837196965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 49837196965248 in words is "forty-nine trillion, eight hundred thirty-seven billion, one hundred ninety-six million, nine hundred sixty-five thousand, two hundred forty-eight".