201965457782196 has 36 divisors (see below), whose sum is σ = 510553251500292. Its totient is φ = 67317935026944.

The previous prime is 201965457782189. The next prime is 201965457782197. The reversal of 201965457782196 is 691287754569102.

201965457782196 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 6 + 5 + 457 + 7 + 82 + 1 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110361033941796 + 91604423840400 = 10505286^2 + 9571020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×201965457782196² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201965457782197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161210421 + ... + 162458396.

It is an arithmetic number, because the mean of its divisors is an integer number (14182034763897).

Almost surely, 2^{201965457782196} is an apocalyptic number.

It is an amenable number.

201965457782196 is an abundant number, since it is smaller than the sum of its proper divisors (308587793718096).

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

201965457782196 is a wasteful number, since it uses less digits than its factorization.

201965457782196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323686160 (or 323686155 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 201965457782196 in words is "two hundred one trillion, nine hundred sixty-five billion, four hundred fifty-seven million, seven hundred eighty-two thousand, one hundred ninety-six".