411146416849 has 27 divisors (see below), whose sum is σ = 482470047657. Its totient is φ = 349344962568.

The previous prime is 411146416819. The next prime is 411146416913. The reversal of 411146416849 is 948614641114.

The square root of 411146416849 is 641207.

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

It is not a de Polignac number, because 411146416849 - 2⁷ = 411146416721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411146416819) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 623894082 + ... + 623894740.

Almost surely, 2^411146416849 is an apocalyptic number.

411146416849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

411146416849 is the 641207-th square number.

411146416849 is the 320604-th centered octagonal number.

It is an amenable number.

411146416849 is a deficient number, since it is larger than the sum of its proper divisors (71323630808).

411146416849 is an frugal number, since it uses more digits than its factorization.

411146416849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 805 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

Multiplying 411146416849 by its sum of digits (49), we get a square (20146174425601 = 4488449²).

411146416849 divided by its sum of digits (49) gives a square (8390743201 = 91601²).

The spelling of 411146416849 in words is "four hundred eleven billion, one hundred forty-six million, four hundred sixteen thousand, eight hundred forty-nine".