1949824559826 has 1152 divisors, whose sum is σ = 5904876257280. Its totient is φ = 473903654400.

The previous prime is 1949824559789. The next prime is 1949824559827. The reversal of 1949824559826 is 6289554289491.

1949824559826 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 8 + 2 + 4 + 5 + 598 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (1949824559827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17888298660 + ... + 17888298768.

It is an arithmetic number, because the mean of its divisors is an integer number (5125760640).

Almost surely, 2^{1949824559826} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949824559826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952438128640).

1949824559826 is an abundant number, since it is smaller than the sum of its proper divisors (3955051697454).

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

1949824559826 is a wasteful number, since it uses less digits than its factorization.

1949824559826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 1949824559826 in words is "one trillion, nine hundred forty-nine billion, eight hundred twenty-four million, five hundred fifty-nine thousand, eight hundred twenty-six".