1973145744 has 200 divisors, whose sum is σ = 6055014240. Its totient is φ = 618596352.

The previous prime is 1973145743. The next prime is 1973145799. The reversal of 1973145744 is 4475413791.

It is a happy number.

1973145744 is a `hidden beast` number, since 1 + 9 + 73 + 1 + 4 + 574 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1973145744.

It is not an unprimeable number, because it can be changed into a prime (1973145743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5589472 + ... + 5589824.

Almost surely, 2^1973145744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973145744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027507120).

1973145744 is an abundant number, since it is smaller than the sum of its proper divisors (4081868496).

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

1973145744 is a wasteful number, since it uses less digits than its factorization.

1973145744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 604 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 1973145744 is about 44420.1051777233. The cubic root of 1973145744 is about 1254.2565808163.

The spelling of 1973145744 in words is "one billion, nine hundred seventy-three million, one hundred forty-five thousand, seven hundred forty-four".