9945100944 has 200 divisors, whose sum is σ = 29772767288. Its totient is φ = 3202467840.

The previous prime is 9945100927. The next prime is 9945100951. The reversal of 9945100944 is 4490015499.

9945100944 is a `hidden beast` number, since 9 + 94 + 510 + 0 + 9 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4802490000 + 5142610944 = 69300^2 + 71712^2 .

It is a super-2 number, since 2×9945100944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9945100944.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7527804 + ... + 7529124.

Almost surely, 2^9945100944 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 9945100944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886383644).

9945100944 is an abundant number, since it is smaller than the sum of its proper divisors (19827666344).

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

9945100944 is a wasteful number, since it uses less digits than its factorization.

9945100944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9945100944 is about 99725.1269440155. The cubic root of 9945100944 is about 2150.4849055184.

It can be divided in two parts, 9945 and 100944, that added together give a square (110889 = 333²).

The spelling of 9945100944 in words is "nine billion, nine hundred forty-five million, one hundred thousand, nine hundred forty-four".