413048665764 has 288 divisors, whose sum is σ = 1249555507200. Its totient is φ = 116865441792.

The previous prime is 413048665739. The next prime is 413048665769. The reversal of 413048665764 is 467566840314.

413048665764 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 8 + 66 + 576 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 413048665764.

It is not an unprimeable number, because it can be changed into a prime (413048665769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347976379 + ... + 347977565.

It is an arithmetic number, because the mean of its divisors is an integer number (4338734400).

Almost surely, 2^413048665764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413048665764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624777753600).

413048665764 is an abundant number, since it is smaller than the sum of its proper divisors (836506841436).

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

413048665764 is a wasteful number, since it uses less digits than its factorization.

413048665764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 413048665764 in words is "four hundred thirteen billion, forty-eight million, six hundred sixty-five thousand, seven hundred sixty-four".