2413989857664 has 2304 divisors, whose sum is σ = 9959990376960. Its totient is φ = 551809843200.

The previous prime is 2413989857623. The next prime is 2413989857717. The reversal of 2413989857664 is 4667589893142.

2413989857664 is a `hidden beast` number, since 2 + 41 + 3 + 9 + 8 + 9 + 8 + 576 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2413989857592 and 2413989857601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14809753647 + ... + 14809753809.

It is an arithmetic number, because the mean of its divisors is an integer number (4322912490).

Almost surely, 2^{2413989857664} is an apocalyptic number.

2413989857664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413989857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979995188480).

2413989857664 is an abundant number, since it is smaller than the sum of its proper divisors (7546000519296).

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

2413989857664 is a wasteful number, since it uses less digits than its factorization.

2413989857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 2413989857664 in words is "two trillion, four hundred thirteen billion, nine hundred eighty-nine million, eight hundred fifty-seven thousand, six hundred sixty-four".