1669166521344 has 352 divisors, whose sum is σ = 5653493030400. Its totient is φ = 476563046400.

The previous prime is 1669166521151. The next prime is 1669166521361. The reversal of 1669166521344 is 4431256619661.

1669166521344 is a `hidden beast` number, since 1 + 6 + 69 + 16 + 6 + 521 + 3 + 44 = 666.

It is a super-2 number, since 2×1669166521344² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412036119 + ... + 412040169.

Almost surely, 2^{1669166521344} is an apocalyptic number.

1669166521344 is a gapful number since it is divisible by the number (14) 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 1669166521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826746515200).

1669166521344 is an abundant number, since it is smaller than the sum of its proper divisors (3984326509056).

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

1669166521344 is a wasteful number, since it uses less digits than its factorization.

1669166521344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6192 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1669166521344 in words is "one trillion, six hundred sixty-nine billion, one hundred sixty-six million, five hundred twenty-one thousand, three hundred forty-four".