960548965776 has 405 divisors, whose sum is σ = 2907572509569. Its totient is φ = 295998633216.

The previous prime is 960548965771. The next prime is 960548965781. The reversal of 960548965776 is 677569845069.

The square root of 960548965776 is 980076.

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

960548965776 is a `hidden beast` number, since 9 + 6 + 0 + 5 + 48 + 9 + 6 + 577 + 6 = 666.

960548965776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (960548965771) and next prime (960548965781).

It can be written as a sum of positive squares in only one way, i.e., 692456979600 + 268091986176 = 832140^2 + 517776^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (960548965771) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14336551695 + ... + 14336551761.

Almost surely, 2^960548965776 is an apocalyptic number.

960548965776 is the 980076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960548965776

960548965776 is an abundant number, since it is smaller than the sum of its proper divisors (1947023543793).

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

960548965776 is a wasteful number, since it uses less digits than its factorization.

960548965776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 960548965776 in words is "nine hundred sixty billion, five hundred forty-eight million, nine hundred sixty-five thousand, seven hundred seventy-six".