201030694909968 has 1280 divisors, whose sum is σ = 716479710363648. Its totient is φ = 46970966016000.

The previous prime is 201030694909931. The next prime is 201030694910009. The reversal of 201030694909968 is 869909496030102.

It is a happy number.

It is a super-2 number, since 2×201030694909968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 201030694909899 and 201030694909908.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56900845930 + ... + 56900849462.

Almost surely, 2^{201030694909968} is an apocalyptic number.

201030694909968 is a gapful number since it is divisible by the number (28) 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 201030694909968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358239855181824).

201030694909968 is an abundant number, since it is smaller than the sum of its proper divisors (515449015453680).

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

201030694909968 is a wasteful number, since it uses less digits than its factorization.

201030694909968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 66.

The spelling of 201030694909968 in words is "two hundred one trillion, thirty billion, six hundred ninety-four million, nine hundred nine thousand, nine hundred sixty-eight".