46728333324288 has 2496 divisors, whose sum is σ = 184255811610624. Its totient is φ = 11133517824000.

The previous prime is 46728333324251. The next prime is 46728333324307. The reversal of 46728333324288 is 88242333382764.

46728333324288 is a `hidden beast` number, since 4 + 6 + 7 + 28 + 3 + 3 + 3 + 324 + 288 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309459161013 + ... + 309459161163.

It is an arithmetic number, because the mean of its divisors is an integer number (73820437344).

Almost surely, 2^{46728333324288} is an apocalyptic number.

46728333324288 is a gapful number since it is divisible by the number (48) 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 46728333324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92127905805312).

46728333324288 is an abundant number, since it is smaller than the sum of its proper divisors (137527478286336).

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

46728333324288 is a wasteful number, since it uses less digits than its factorization.

46728333324288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 244 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 46728333324288 in words is "forty-six trillion, seven hundred twenty-eight billion, three hundred thirty-three million, three hundred twenty-four thousand, two hundred eighty-eight".