46328335200 has 648 divisors, whose sum is σ = 193540143888. Its totient is φ = 10214830080.

The previous prime is 46328335199. The next prime is 46328335201. The reversal of 46328335200 is 253382364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46328335199) and next prime (46328335201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46328335201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 42385854 + ... + 42386946.

Almost surely, 2^46328335200 is an apocalyptic number.

46328335200 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 46328335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96770071944).

46328335200 is an abundant number, since it is smaller than the sum of its proper divisors (147211808688).

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

46328335200 is a wasteful number, since it uses less digits than its factorization.

46328335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 46328335200 in words is "forty-six billion, three hundred twenty-eight million, three hundred thirty-five thousand, two hundred".