46728311078400 has 2880 divisors, whose sum is σ = 195849948729600. Its totient is φ = 9759416647680.

The previous prime is 46728311078299. The next prime is 46728311078437. The reversal of 46728311078400 is 487011382764.

46728311078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 173711193466 + ... + 173711193734.

It is an arithmetic number, because the mean of its divisors is an integer number (68003454420).

Almost surely, 2^{46728311078400} is an apocalyptic number.

46728311078400 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 46728311078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97924974364800).

46728311078400 is an abundant number, since it is smaller than the sum of its proper divisors (149121637651200).

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

46728311078400 is a wasteful number, since it uses less digits than its factorization.

46728311078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 46728311078400 in words is "forty-six trillion, seven hundred twenty-eight billion, three hundred eleven million, seventy-eight thousand, four hundred".