49979868486912 has 3456 divisors, whose sum is σ = 210842688000000. Its totient is φ = 11325144563712.

The previous prime is 49979868486907. The next prime is 49979868486983. The reversal of 49979868486912 is 21968486897994.

49979868486912 is a `hidden beast` number, since 49 + 9 + 7 + 9 + 86 + 8 + 486 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100160056839 + ... + 100160057337.

Almost surely, 2^{49979868486912} is an apocalyptic number.

49979868486912 is a gapful number since it is divisible by the number (42) 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 49979868486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105421344000000).

49979868486912 is an abundant number, since it is smaller than the sum of its proper divisors (160862819513088).

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

49979868486912 is a wasteful number, since it uses less digits than its factorization.

49979868486912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 589 counting only the distinct ones).

The product of its digits is 27088846848, while the sum is 90.

The spelling of 49979868486912 in words is "forty-nine trillion, nine hundred seventy-nine billion, eight hundred sixty-eight million, four hundred eighty-six thousand, nine hundred twelve".