46728202482000 has 640 divisors, whose sum is σ = 189754813248000. Its totient is φ = 10896938035200.

The previous prime is 46728202481957. The next prime is 46728202482001. The reversal of 46728202482000 is 28420282764.

It is a super-3 number, since 3×46728202482000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46728202482001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11586306 + ... + 15089694.

It is an arithmetic number, because the mean of its divisors is an integer number (296491895700).

Almost surely, 2^{46728202482000} is an apocalyptic number.

46728202482000 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 46728202482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94877406624000).

46728202482000 is an abundant number, since it is smaller than the sum of its proper divisors (143026610766000).

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

46728202482000 is a wasteful number, since it uses less digits than its factorization.

46728202482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503453 (or 3503431 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 46728202482000 in words is "forty-six trillion, seven hundred twenty-eight billion, two hundred two million, four hundred eighty-two thousand".