201642555345 has 192 divisors, whose sum is σ = 436415717376. Its totient is φ = 77186027520.

The previous prime is 201642555281. The next prime is 201642555419. The reversal of 201642555345 is 543555246102.

It is not a de Polignac number, because 201642555345 - 2⁶ = 201642555281 is a prime.

It is a super-2 number, since 2×201642555345² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201642555297 and 201642555306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15681939 + ... + 15694791.

It is an arithmetic number, because the mean of its divisors is an integer number (2272998528).

Almost surely, 2^201642555345 is an apocalyptic number.

It is an amenable number.

201642555345 is an abundant number, since it is smaller than the sum of its proper divisors (234773162031).

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

201642555345 is a wasteful number, since it uses less digits than its factorization.

201642555345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 201642555345 in words is "two hundred one billion, six hundred forty-two million, five hundred fifty-five thousand, three hundred forty-five".