46728336614400 has 3168 divisors, whose sum is σ = 214546959544320. Its totient is φ = 9459597312000.

The previous prime is 46728336614353. The next prime is 46728336614431. The reversal of 46728336614400 is 441663382764.

46728336614400 is a `hidden beast` number, since 4 + 6 + 72 + 83 + 36 + 61 + 4 + 400 = 666.

46728336614400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×46728336614400⁴ (a number of 56 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 141173222235 + ... + 141173222565.

Almost surely, 2^{46728336614400} is an apocalyptic number.

46728336614400 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 46728336614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107273479772160).

46728336614400 is an abundant number, since it is smaller than the sum of its proper divisors (167818622929920).

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

46728336614400 is a wasteful number, since it uses less digits than its factorization.

46728336614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 46728336614400 in words is "forty-six trillion, seven hundred twenty-eight billion, three hundred thirty-six million, six hundred fourteen thousand, four hundred".