1649795490000 has 600 divisors, whose sum is σ = 6621991284480. Its totient is φ = 375484032000.

The previous prime is 1649795489929. The next prime is 1649795490023. The reversal of 1649795490000 is 945979461.

It is a happy number.

1649795490000 is a `hidden beast` number, since 1 + 6 + 4 + 97 + 9 + 549 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 150564522 + ... + 150575478.

Almost surely, 2^{1649795490000} is an apocalyptic number.

1649795490000 is a gapful number since it is divisible by the number (10) 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 1649795490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310995642240).

1649795490000 is an abundant number, since it is smaller than the sum of its proper divisors (4972195794480).

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

1649795490000 is a wasteful number, since it uses less digits than its factorization.

1649795490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1649795490000 in words is "one trillion, six hundred forty-nine billion, seven hundred ninety-five million, four hundred ninety thousand".