1985919185448 has 768 divisors, whose sum is σ = 6840916992000. Its totient is φ = 532606233600.

The previous prime is 1985919185441. The next prime is 1985919185501. The reversal of 1985919185448 is 8445819195891.

1985919185448 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 91 + 91 + 8 + 5 + 448 = 666.

It is a super-2 number, since 2×1985919185448² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1985919185441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 365257386 + ... + 365262822.

It is an arithmetic number, because the mean of its divisors is an integer number (8907444000).

Almost surely, 2^{1985919185448} is an apocalyptic number.

1985919185448 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 1985919185448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420458496000).

1985919185448 is an abundant number, since it is smaller than the sum of its proper divisors (4854997806552).

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

1985919185448 is a wasteful number, since it uses less digits than its factorization.

1985919185448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5532 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 72.

The spelling of 1985919185448 in words is "one trillion, nine hundred eighty-five billion, nine hundred nineteen million, one hundred eighty-five thousand, four hundred forty-eight".