1948669453728 has 144 divisors (see below), whose sum is σ = 5573275868160. Its totient is φ = 645845695488.

The previous prime is 1948669453697. The next prime is 1948669453763. The reversal of 1948669453728 is 8273549668491.

1948669453728 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 6 + 69 + 4 + 537 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 36135201 + ... + 36189087.

It is an arithmetic number, because the mean of its divisors is an integer number (38703304640).

Almost surely, 2^{1948669453728} is an apocalyptic number.

1948669453728 is a gapful number since it is divisible by the number (18) 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 1948669453728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786637934080).

1948669453728 is an abundant number, since it is smaller than the sum of its proper divisors (3624606414432).

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

1948669453728 is a wasteful number, since it uses less digits than its factorization.

1948669453728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54619 (or 54608 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 1948669453728 in words is "one trillion, nine hundred forty-eight billion, six hundred sixty-nine million, four hundred fifty-three thousand, seven hundred twenty-eight".