201140586706068 has 240 divisors, whose sum is σ = 562279544386560. Its totient is φ = 62476684563456.

The previous prime is 201140586706063. The next prime is 201140586706121. The reversal of 201140586706068 is 860607685041102.

201140586706068 is a `hidden beast` number, since 2 + 0 + 11 + 40 + 586 + 7 + 0 + 6 + 0 + 6 + 8 = 666.

It is a super-2 number, since 2×201140586706068² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201140586706063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2784957405 + ... + 2785029627.

It is an arithmetic number, because the mean of its divisors is an integer number (2342831434944).

Almost surely, 2^{201140586706068} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201140586706068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281139772193280).

201140586706068 is an abundant number, since it is smaller than the sum of its proper divisors (361138957680492).

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

201140586706068 is a wasteful number, since it uses less digits than its factorization.

201140586706068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77268 (or 77257 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 201140586706068 in words is "two hundred one trillion, one hundred forty billion, five hundred eighty-six million, seven hundred six thousand, sixty-eight".