1983045601152 has 512 divisors, whose sum is σ = 7304647910400. Its totient is φ = 514531491840.

The previous prime is 1983045601151. The next prime is 1983045601181. The reversal of 1983045601152 is 2511065403891.

It is a happy number.

1983045601152 is a `hidden beast` number, since 1 + 9 + 8 + 30 + 4 + 5 + 601 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1983045601098 and 1983045601107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983045601151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291921468 + ... + 291928260.

It is an arithmetic number, because the mean of its divisors is an integer number (14266890450).

Almost surely, 2^{1983045601152} is an apocalyptic number.

1983045601152 is a gapful number since it is divisible by the number (12) 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 1983045601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652323955200).

1983045601152 is an abundant number, since it is smaller than the sum of its proper divisors (5321602309248).

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

1983045601152 is a wasteful number, since it uses less digits than its factorization.

1983045601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1983045601152 in words is "one trillion, nine hundred eighty-three billion, forty-five million, six hundred one thousand, one hundred fifty-two".