201602140709568 has 448 divisors, whose sum is σ = 585512802828288. Its totient is φ = 60959938314240.

The previous prime is 201602140709527. The next prime is 201602140709573. The reversal of 201602140709568 is 865907041206102.

It is a super-3 number, since 3×201602140709568³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 201602140709568.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10322151963 + ... + 10322171493.

Almost surely, 2^{201602140709568} 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 201602140709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292756401414144).

201602140709568 is an abundant number, since it is smaller than the sum of its proper divisors (383910662118720).

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

201602140709568 is a wasteful number, since it uses less digits than its factorization.

201602140709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400 (or 20390 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 201602140709568 in words is "two hundred one trillion, six hundred two billion, one hundred forty million, seven hundred nine thousand, five hundred sixty-eight".