1649208532608 has 1920 divisors, whose sum is σ = 6702975251280. Its totient is φ = 397303087104.

The previous prime is 1649208532567. The next prime is 1649208532627. The reversal of 1649208532608 is 8062358029461.

1649208532608 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 20 + 8 + 5 + 3 + 2 + 608 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1244010083904 + 405198448704 = 1115352^2 + 636552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4154177466 + ... + 4154177862.

Almost surely, 2^{1649208532608} is an apocalyptic number.

1649208532608 is a gapful number since it is divisible by the number (18) 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 1649208532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351487625640).

1649208532608 is an abundant number, since it is smaller than the sum of its proper divisors (5053766718672).

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

1649208532608 is a wasteful number, since it uses less digits than its factorization.

1649208532608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1649208532608 in words is "one trillion, six hundred forty-nine billion, two hundred eight million, five hundred thirty-two thousand, six hundred eight".