1868378113728 has 336 divisors, whose sum is σ = 6336315048960. Its totient is φ = 515303534592.

The previous prime is 1868378113717. The next prime is 1868378113741. The reversal of 1868378113728 is 8273118738681.

1868378113728 is a `hidden beast` number, since 1 + 86 + 8 + 378 + 113 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13766263 + ... + 13901321.

Almost surely, 2^{1868378113728} is an apocalyptic number.

1868378113728 is a gapful number since it is divisible by the number (18) 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 1868378113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168157524480).

1868378113728 is an abundant number, since it is smaller than the sum of its proper divisors (4467936935232).

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

1868378113728 is a wasteful number, since it uses less digits than its factorization.

1868378113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135204 (or 135191 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 1868378113728 in words is "one trillion, eight hundred sixty-eight billion, three hundred seventy-eight million, one hundred thirteen thousand, seven hundred twenty-eight".