1669553934048 has 1728 divisors, whose sum is σ = 7015342763520. Its totient is φ = 363228364800.

The previous prime is 1669553934047. The next prime is 1669553934073. The reversal of 1669553934048 is 8404393559661.

1669553934048 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 553 + 9 + 34 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1669553934047) by changing a digit.

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, 2416141383 + ... + 2416142073.

It is an arithmetic number, because the mean of its divisors is an integer number (4059804840).

Almost surely, 2^{1669553934048} is an apocalyptic number.

1669553934048 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 1669553934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507671381760).

1669553934048 is an abundant number, since it is smaller than the sum of its proper divisors (5345788829472).

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

1669553934048 is a wasteful number, since it uses less digits than its factorization.

1669553934048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 1669553934048 in words is "one trillion, six hundred sixty-nine billion, five hundred fifty-three million, nine hundred thirty-four thousand, forty-eight".