46324813824 has 351 divisors, whose sum is σ = 143658451443. Its totient is φ = 14380941312.

The previous prime is 46324813819. The next prime is 46324813831. The reversal of 46324813824 is 42831842364.

It is a happy number.

The square root of 46324813824 is 215232.

It is a perfect power (a square), and thus also a powerful number.

46324813824 is a `hidden beast` number, since 4 + 632 + 4 + 8 + 1 + 3 + 8 + 2 + 4 = 666.

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 46324813824.

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 26 ways as a sum of consecutive naturals, for example, 785166307 + ... + 785166365.

Almost surely, 2^46324813824 is an apocalyptic number.

46324813824 is the 215232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46324813824

46324813824 is an abundant number, since it is smaller than the sum of its proper divisors (97333637619).

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

46324813824 is an equidigital number, since it uses as much as digits as its factorization.

46324813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 83 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 46324813824 in words is "forty-six billion, three hundred twenty-four million, eight hundred thirteen thousand, eight hundred twenty-four".