46728449310816 has 1728 divisors, whose sum is σ = 178148838067200. Its totient is φ = 11782519676928.

The previous prime is 46728449310811. The next prime is 46728449310839. The reversal of 46728449310816 is 61801394482764.

46728449310816 is a `hidden beast` number, since 4 + 6 + 7 + 28 + 4 + 493 + 108 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46728449310811) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29078063485 + ... + 29078065091.

It is an arithmetic number, because the mean of its divisors is an integer number (103095392400).

Almost surely, 2^{46728449310816} 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 46728449310816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89074419033600).

46728449310816 is an abundant number, since it is smaller than the sum of its proper divisors (131420388756384).

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

46728449310816 is a wasteful number, since it uses less digits than its factorization.

46728449310816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 46728449310816 in words is "forty-six trillion, seven hundred twenty-eight billion, four hundred forty-nine million, three hundred ten thousand, eight hundred sixteen".