1687810418112 has 112 divisors (see below), whose sum is σ = 5496203213312. Its totient is φ = 445136808960.

The previous prime is 1687810418081. The next prime is 1687810418131. The reversal of 1687810418112 is 2118140187861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48282964 + ... + 48317907.

It is an arithmetic number, because the mean of its divisors is an integer number (49073242976).

Almost surely, 2^{1687810418112} is an apocalyptic number.

1687810418112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1687810418112 is an abundant number, since it is smaller than the sum of its proper divisors (3808392795200).

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

1687810418112 is a wasteful number, since it uses less digits than its factorization.

1687810418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96600906 (or 96600896 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 48.

The spelling of 1687810418112 in words is "one trillion, six hundred eighty-seven billion, eight hundred ten million, four hundred eighteen thousand, one hundred twelve".