1873869145416 has 144 divisors (see below), whose sum is σ = 5372148120300. Its totient is φ = 589989464064.

The previous prime is 1873869145327. The next prime is 1873869145451. The reversal of 1873869145416 is 6145419683781.

1873869145416 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 86 + 9 + 1 + 4 + 541 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1872983844900 + 885300516 = 1368570^2 + 29754^2 .

It is a super-2 number, since 2×1873869145416² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8652340 + ... + 8866268.

Almost surely, 2^{1873869145416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1873869145416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686074060150).

1873869145416 is an abundant number, since it is smaller than the sum of its proper divisors (3498278974884).

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

1873869145416 is a wasteful number, since it uses less digits than its factorization.

1873869145416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214316 (or 214290 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1873869145416 in words is "one trillion, eight hundred seventy-three billion, eight hundred sixty-nine million, one hundred forty-five thousand, four hundred sixteen".