46093852224 has 280 divisors, whose sum is σ = 165344002560. Its totient is φ = 12394819584.

The previous prime is 46093852201. The next prime is 46093852253. The reversal of 46093852224 is 42225839064.

46093852224 is a `hidden beast` number, since 4 + 609 + 38 + 5 + 2 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46093852224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 579537 + ... + 654255.

Almost surely, 2^46093852224 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 46093852224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82672001280).

46093852224 is an abundant number, since it is smaller than the sum of its proper divisors (119250150336).

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

46093852224 is a wasteful number, since it uses less digits than its factorization.

46093852224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74767 (or 74748 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46093852224 in words is "forty-six billion, ninety-three million, eight hundred fifty-two thousand, two hundred twenty-four".