1662642105345 has 160 divisors (see below), whose sum is σ = 3419390443392. Its totient is φ = 765649594368.

The previous prime is 1662642105343. The next prime is 1662642105407. The reversal of 1662642105345 is 5435012462661.

1662642105345 is a `hidden beast` number, since 1 + 6 + 62 + 6 + 42 + 10 + 534 + 5 = 666.

It is not a de Polignac number, because 1662642105345 - 2¹ = 1662642105343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1662642105345.

It is not an unprimeable number, because it can be changed into a prime (1662642105343) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14532334 + ... + 14646296.

Almost surely, 2^{1662642105345} is an apocalyptic number.

1662642105345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1662642105345 is an abundant number, since it is smaller than the sum of its proper divisors (1756748338047).

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

1662642105345 is a wasteful number, since it uses less digits than its factorization.

1662642105345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114173 (or 114164 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1662642105345 in words is "one trillion, six hundred sixty-two billion, six hundred forty-two million, one hundred five thousand, three hundred forty-five".