1649121242496 has 512 divisors, whose sum is σ = 5547357312000. Its totient is φ = 422528679936.

The previous prime is 1649121242491. The next prime is 1649121242533. The reversal of 1649121242496 is 6942421219461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649121242491) 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 63 ways as a sum of consecutive naturals, for example, 170906280 + ... + 170915928.

It is an arithmetic number, because the mean of its divisors is an integer number (10834682250).

Almost surely, 2^{1649121242496} is an apocalyptic number.

1649121242496 is a gapful number since it is divisible by the number (16) 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 1649121242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773678656000).

1649121242496 is an abundant number, since it is smaller than the sum of its proper divisors (3898236069504).

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

1649121242496 is a wasteful number, since it uses less digits than its factorization.

1649121242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9814 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 1649121242496 in words is "one trillion, six hundred forty-nine billion, one hundred twenty-one million, two hundred forty-two thousand, four hundred ninety-six".