5864982246144 has 720 divisors, whose sum is σ = 20178124420608. Its totient is φ = 1666609053696.

The previous prime is 5864982246127. The next prime is 5864982246247. The reversal of 5864982246144 is 4416422894685.

It is a happy number.

5864982246144 is a `hidden beast` number, since 5 + 8 + 6 + 4 + 9 + 8 + 2 + 2 + 4 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9064887229 + ... + 9064887875.

Almost surely, 2^{5864982246144} is an apocalyptic number.

5864982246144 is a gapful number since it is divisible by the number (54) 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 5864982246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089062210304).

5864982246144 is an abundant number, since it is smaller than the sum of its proper divisors (14313142174464).

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

5864982246144 is an frugal number, since it uses more digits than its factorization.

5864982246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 916 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 5864982246144 in words is "five trillion, eight hundred sixty-four billion, nine hundred eighty-two million, two hundred forty-six thousand, one hundred forty-four".