49143827322912 has 1728 divisors, whose sum is σ = 172260420304896. Its totient is φ = 12204473057280.

The previous prime is 49143827322883. The next prime is 49143827322973. The reversal of 49143827322912 is 21922372834194.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 85171277568 + ... + 85171278144.

It is an arithmetic number, because the mean of its divisors is an integer number (99687743232).

Almost surely, 2^{49143827322912} is an apocalyptic number.

49143827322912 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 49143827322912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86130210152448).

49143827322912 is an abundant number, since it is smaller than the sum of its proper divisors (123116592981984).

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

49143827322912 is a wasteful number, since it uses less digits than its factorization.

49143827322912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 727 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 49143827322912 in words is "forty-nine trillion, one hundred forty-three billion, eight hundred twenty-seven million, three hundred twenty-two thousand, nine hundred twelve".