1945416544 has 72 divisors (see below), whose sum is σ = 4102919352. Its totient is φ = 907399680.

The previous prime is 1945416533. The next prime is 1945416547. The reversal of 1945416544 is 4456145491.

It is a self number, because there is not a number n which added to its sum of digits gives 1945416544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945416547) 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 11 ways as a sum of consecutive naturals, for example, 692647 + ... + 695449.

It is an arithmetic number, because the mean of its divisors is an integer number (56984991).

Almost surely, 2^1945416544 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 1945416544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051459676).

1945416544 is an abundant number, since it is smaller than the sum of its proper divisors (2157502808).

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

1945416544 is a wasteful number, since it uses less digits than its factorization.

1945416544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2869 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The square root of 1945416544 is about 44106.8763799932. The cubic root of 1945416544 is about 1248.3533612037.

The spelling of 1945416544 in words is "one billion, nine hundred forty-five million, four hundred sixteen thousand, five hundred forty-four".