9945558780964 has 81 divisors (see below), whose sum is σ = 18887275950417. Its totient is φ = 4581684800928.

The previous prime is 9945558780961. The next prime is 9945558780967. The reversal of 9945558780964 is 4690878555499.

It is a happy number.

The square root of 9945558780964 is 3153658.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9945558780961) and next prime (9945558780967).

It can be written as a sum of positive squares in only one way, i.e., 8899422576100 + 1046136204864 = 2983190^2 + 1022808^2 .

It is a super-3 number, since 3×9945558780964³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9945558780961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4434042027 + ... + 4434044269.

Almost surely, 2^{9945558780964} is an apocalyptic number.

9945558780964 is the 3153658-th square number.

It is an amenable number.

9945558780964 is a deficient number, since it is larger than the sum of its proper divisors (8941717169453).

9945558780964 is an equidigital number, since it uses as much as digits as its factorization.

9945558780964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 3919104000, while the sum is 79.

The spelling of 9945558780964 in words is "nine trillion, nine hundred forty-five billion, five hundred fifty-eight million, seven hundred eighty thousand, nine hundred sixty-four".