46825443504 has 480 divisors, whose sum is σ = 163046707200. Its totient is φ = 12510457344.

The previous prime is 46825443503. The next prime is 46825443541. The reversal of 46825443504 is 40534452864.

46825443504 is a `hidden beast` number, since 46 + 8 + 254 + 4 + 350 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46825443504.

It is not an unprimeable number, because it can be changed into a prime (46825443503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53392314 + ... + 53393190.

It is an arithmetic number, because the mean of its divisors is an integer number (339680640).

Almost surely, 2^46825443504 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 46825443504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81523353600).

46825443504 is an abundant number, since it is smaller than the sum of its proper divisors (116221263696).

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

46825443504 is a wasteful number, since it uses less digits than its factorization.

46825443504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 46825443504 in words is "forty-six billion, eight hundred twenty-five million, four hundred forty-three thousand, five hundred four".