2413439136864 has 648 divisors, whose sum is σ = 8227705089240. Its totient is φ = 669042855936.

The previous prime is 2413439136859. The next prime is 2413439136869. The reversal of 2413439136864 is 4686319343142.

2413439136864 is a `hidden beast` number, since 2 + 4 + 13 + 439 + 136 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2413439136859) and next prime (2413439136869).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2413439136864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413439136869) 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 107 ways as a sum of consecutive naturals, for example, 4241544772 + ... + 4241545340.

It is an arithmetic number, because the mean of its divisors is an integer number (12697075755).

Almost surely, 2^{2413439136864} is an apocalyptic number.

2413439136864 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 2413439136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113852544620).

2413439136864 is an abundant number, since it is smaller than the sum of its proper divisors (5814265952376).

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

2413439136864 is a wasteful number, since it uses less digits than its factorization.

2413439136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 741 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 2413439136864 in words is "two trillion, four hundred thirteen billion, four hundred thirty-nine million, one hundred thirty-six thousand, eight hundred sixty-four".