201869065776 has 240 divisors, whose sum is σ = 635173346304. Its totient is φ = 53931915264.

The previous prime is 201869065753. The next prime is 201869065799. The reversal of 201869065776 is 677560968102.

It is an interprime number because it is at equal distance from previous prime (201869065753) and next prime (201869065799).

It is a super-2 number, since 2×201869065776² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183017641 + ... + 183018743.

Almost surely, 2^201869065776 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 201869065776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317586673152).

201869065776 is an abundant number, since it is smaller than the sum of its proper divisors (433304280528).

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

201869065776 is a wasteful number, since it uses less digits than its factorization.

201869065776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 201869065776 in words is "two hundred one billion, eight hundred sixty-nine million, sixty-five thousand, seven hundred seventy-six".