46383994800 has 540 divisors, whose sum is σ = 190562025472. Its totient is φ = 10378368000.

The previous prime is 46383994793. The next prime is 46383994801. The reversal of 46383994800 is 849938364.

It is a happy number.

46383994800 is a `hidden beast` number, since 46 + 38 + 3 + 99 + 480 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (46383994801) 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 107 ways as a sum of consecutive naturals, for example, 5658705 + ... + 5666895.

Almost surely, 2^46383994800 is an apocalyptic number.

46383994800 is a gapful number since it is divisible by the number (40) 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 46383994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95281012736).

46383994800 is an abundant number, since it is smaller than the sum of its proper divisors (144178030672).

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

46383994800 is a wasteful number, since it uses less digits than its factorization.

46383994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 46383994800 in words is "forty-six billion, three hundred eighty-three million, nine hundred ninety-four thousand, eight hundred".