201619858441 has 27 divisors (see below), whose sum is σ = 218250201663. Its totient is φ = 186217989120.

The previous prime is 201619858421. The next prime is 201619858457. The reversal of 201619858441 is 144858916102.

The square root of 201619858441 is 449021.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 201402590841 + 217267600 = 448779^2 + 14740^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201619858441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201619858411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 465634561 + ... + 465634993.

Almost surely, 2^201619858441 is an apocalyptic number.

201619858441 is the 449021-st square number.

201619858441 is the 224511-st centered octagonal number.

It is an amenable number.

201619858441 is a deficient number, since it is larger than the sum of its proper divisors (16630343222).

201619858441 is an frugal number, since it uses more digits than its factorization.

201619858441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 201619858441 by its sum of digits (49), we get a square (9879373063609 = 3143147²).

The spelling of 201619858441 in words is "two hundred one billion, six hundred nineteen million, eight hundred fifty-eight thousand, four hundred forty-one".