5466932458624 has 1536 divisors, whose sum is σ = 16023811910400. Its totient is φ = 1828218470400.

The previous prime is 5466932458621. The next prime is 5466932458699. The reversal of 5466932458624 is 4268542396645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (298598400) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (5466932458621) 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 191 ways as a sum of consecutive naturals, for example, 65866656087 + ... + 65866656169.

Almost surely, 2^{5466932458624} 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 5466932458624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011905955200).

5466932458624 is an abundant number, since it is smaller than the sum of its proper divisors (10556879451776).

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

5466932458624 is a wasteful number, since it uses less digits than its factorization.

5466932458624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 64.

The spelling of 5466932458624 in words is "five trillion, four hundred sixty-six billion, nine hundred thirty-two million, four hundred fifty-eight thousand, six hundred twenty-four".