414644160645 has 256 divisors, whose sum is σ = 903430886400. Its totient is φ = 179146598400.

The previous prime is 414644160641. The next prime is 414644160653. The reversal of 414644160645 is 546061446414.

414644160645 is a `hidden beast` number, since 4 + 146 + 441 + 6 + 0 + 64 + 5 = 666.

It is not a de Polignac number, because 414644160645 - 2² = 414644160641 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 414644160645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414644160641) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 67738185 + ... + 67744305.

It is an arithmetic number, because the mean of its divisors is an integer number (3529026900).

Almost surely, 2^414644160645 is an apocalyptic number.

414644160645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414644160645 is an abundant number, since it is smaller than the sum of its proper divisors (488786725755).

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

414644160645 is a wasteful number, since it uses less digits than its factorization.

414644160645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 414644160645 in words is "four hundred fourteen billion, six hundred forty-four million, one hundred sixty thousand, six hundred forty-five".