2964553916944 has 45 divisors (see below), whose sum is σ = 5949116640493. Its totient is φ = 1431067539776.

The previous prime is 2964553916941. The next prime is 2964553916953. The reversal of 2964553916944 is 4496193554692.

The square root of 2964553916944 is 1721788.

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

It can be written as a sum of positive squares in only one way, i.e., 1554540163344 + 1410013753600 = 1246812^2 + 1187440^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2964553916944.

It is not an unprimeable number, because it can be changed into a prime (2964553916941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 199719987 + ... + 199734829.

Almost surely, 2^{2964553916944} is an apocalyptic number.

2964553916944 is the 1721788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2964553916944

2964553916944 is an abundant number, since it is smaller than the sum of its proper divisors (2984562723549).

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

2964553916944 is an frugal number, since it uses more digits than its factorization.

2964553916944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29752 (or 14874 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 67.

The spelling of 2964553916944 in words is "two trillion, nine hundred sixty-four billion, five hundred fifty-three million, nine hundred sixteen thousand, nine hundred forty-four".