2148785065728 has 432 divisors, whose sum is σ = 7360937176320. Its totient is φ = 612421337088.

The previous prime is 2148785065703. The next prime is 2148785065741. The reversal of 2148785065728 is 8275605878412.

2148785065728 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 7 + 8 + 50 + 6 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182450176 + ... + 182461952.

Almost surely, 2^{2148785065728} is an apocalyptic number.

2148785065728 is a gapful number since it is divisible by the number (28) 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 2148785065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680468588160).

2148785065728 is an abundant number, since it is smaller than the sum of its proper divisors (5212152110592).

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

2148785065728 is an equidigital number, since it uses as much as digits as its factorization.

2148785065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 2148785065728 in words is "two trillion, one hundred forty-eight billion, seven hundred eighty-five million, sixty-five thousand, seven hundred twenty-eight".