1669145400000 has 2016 divisors, whose sum is σ = 6971853772800. Its totient is φ = 390873600000.

The previous prime is 1669145399927. The next prime is 1669145400017. The reversal of 1669145400000 is 45419661.

1669145400000 is a `hidden beast` number, since 166 + 91 + 4 + 5 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28290599971 + ... + 28290600029.

It is an arithmetic number, because the mean of its divisors is an integer number (3458260800).

Almost surely, 2^{1669145400000} is an apocalyptic number.

1669145400000 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 1669145400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485926886400).

1669145400000 is an abundant number, since it is smaller than the sum of its proper divisors (5302708372800).

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

1669145400000 is an equidigital number, since it uses as much as digits as its factorization.

1669145400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1669145400000 in words is "one trillion, six hundred sixty-nine billion, one hundred forty-five million, four hundred thousand".