181968651360 has 240 divisors, whose sum is σ = 675998492400. Its totient is φ = 45970965504.

The previous prime is 181968651353. The next prime is 181968651373. The reversal of 181968651360 is 63156869181.

181968651360 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 68 + 6 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×181968651360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 181968651297 and 181968651306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123255 + ... + 615734.

It is an arithmetic number, because the mean of its divisors is an integer number (2816660385).

Almost surely, 2^181968651360 is an apocalyptic number.

181968651360 is a gapful number since it is divisible by the number (10) 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 181968651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337999246200).

181968651360 is an abundant number, since it is smaller than the sum of its proper divisors (494029841040).

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

181968651360 is a wasteful number, since it uses less digits than its factorization.

181968651360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739035 (or 739018 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 181968651360 in words is "one hundred eighty-one billion, nine hundred sixty-eight million, six hundred fifty-one thousand, three hundred sixty".