962966123616 has 192 divisors, whose sum is σ = 2951611729920. Its totient is φ = 269165445120.

The previous prime is 962966123591. The next prime is 962966123617. The reversal of 962966123616 is 616321669269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962966123617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98568780 + ... + 98578548.

It is an arithmetic number, because the mean of its divisors is an integer number (15372977760).

Almost surely, 2^962966123616 is an apocalyptic number.

962966123616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962966123616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475805864960).

962966123616 is an abundant number, since it is smaller than the sum of its proper divisors (1988645606304).

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

962966123616 is a wasteful number, since it uses less digits than its factorization.

962966123616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957 (or 12949 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 57.

The spelling of 962966123616 in words is "nine hundred sixty-two billion, nine hundred sixty-six million, one hundred twenty-three thousand, six hundred sixteen".