960816349629 has 16 divisors (see below), whose sum is σ = 1423476644800. Its totient is φ = 640523976048.

The previous prime is 960816349531. The next prime is 960816349657. The reversal of 960816349629 is 926943618069.

960816349629 is a `hidden beast` number, since 9 + 6 + 0 + 81 + 63 + 496 + 2 + 9 = 666.

It is not a de Polignac number, because 960816349629 - 2¹⁶ = 960816284093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960816349429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332787 + ... + 1425615.

It is an arithmetic number, because the mean of its divisors is an integer number (88967290300).

Almost surely, 2^960816349629 is an apocalyptic number.

It is an amenable number.

960816349629 is a deficient number, since it is larger than the sum of its proper divisors (462660295171).

960816349629 is a wasteful number, since it uses less digits than its factorization.

960816349629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125401 (or 1125395 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 960816349629 in words is "nine hundred sixty billion, eight hundred sixteen million, three hundred forty-nine thousand, six hundred twenty-nine".