1611369861768 has 192 divisors, whose sum is σ = 4613555232000. Its totient is φ = 507250093056.

The previous prime is 1611369861763. The next prime is 1611369861799. The reversal of 1611369861768 is 8671689631161.

1611369861768 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 3 + 6 + 9 + 8 + 617 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1611369861763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194206996 + ... + 194215292.

It is an arithmetic number, because the mean of its divisors is an integer number (24028933500).

Almost surely, 2^{1611369861768} is an apocalyptic number.

1611369861768 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 1611369861768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306777616000).

1611369861768 is an abundant number, since it is smaller than the sum of its proper divisors (3002185370232).

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

1611369861768 is a wasteful number, since it uses less digits than its factorization.

1611369861768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10357 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 1611369861768 in words is "one trillion, six hundred eleven billion, three hundred sixty-nine million, eight hundred sixty-one thousand, seven hundred sixty-eight".