961721516448 has 768 divisors, whose sum is σ = 3775229337600. Its totient is φ = 230687170560.

The previous prime is 961721516411. The next prime is 961721516449. The reversal of 961721516448 is 844615127169.

961721516448 is a `hidden beast` number, since 9 + 6 + 172 + 15 + 16 + 448 = 666.

961721516448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 961721516394 and 961721516403.

It is not an unprimeable number, because it can be changed into a prime (961721516449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44363340 + ... + 44385012.

It is an arithmetic number, because the mean of its divisors is an integer number (4915663200).

Almost surely, 2^961721516448 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 961721516448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887614668800).

961721516448 is an abundant number, since it is smaller than the sum of its proper divisors (2813507821152).

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

961721516448 is a wasteful number, since it uses less digits than its factorization.

961721516448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21762 (or 21748 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 961721516448 in words is "nine hundred sixty-one billion, seven hundred twenty-one million, five hundred sixteen thousand, four hundred forty-eight".