1711660038144 has 576 divisors, whose sum is σ = 5551567257600. Its totient is φ = 459061198848.

The previous prime is 1711660038139. The next prime is 1711660038163. The reversal of 1711660038144 is 4418300661171.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1711660038096 and 1711660038105.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1338279297 + ... + 1338280575.

It is an arithmetic number, because the mean of its divisors is an integer number (9638137600).

Almost surely, 2^{1711660038144} is an apocalyptic number.

1711660038144 is a gapful number since it is divisible by the number (14) 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 1711660038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775783628800).

1711660038144 is an abundant number, since it is smaller than the sum of its proper divisors (3839907219456).

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

1711660038144 is a wasteful number, since it uses less digits than its factorization.

1711660038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1711660038144 in words is "one trillion, seven hundred eleven billion, six hundred sixty million, thirty-eight thousand, one hundred forty-four".