49850131968 has 1440 divisors, whose sum is σ = 203252553504. Its totient is φ = 12039487488.

The previous prime is 49850131913. The next prime is 49850131987. The reversal of 49850131968 is 86913105894.

49850131968 is a `hidden beast` number, since 49 + 8 + 501 + 3 + 1 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1347300846 + ... + 1347300882.

Almost surely, 2^49850131968 is an apocalyptic number.

49850131968 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 49850131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101626276752).

49850131968 is an abundant number, since it is smaller than the sum of its proper divisors (153402421536).

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

49850131968 is a wasteful number, since it uses less digits than its factorization.

49850131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 49850131968 in words is "forty-nine billion, eight hundred fifty million, one hundred thirty-one thousand, nine hundred sixty-eight".