965897146368 has 728 divisors, whose sum is σ = 3611472972096. Its totient is φ = 250822656000.

The previous prime is 965897146351. The next prime is 965897146381. The reversal of 965897146368 is 863641798569.

965897146368 is a `hidden beast` number, since 9 + 6 + 589 + 7 + 1 + 4 + 6 + 36 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 965897146296 and 965897146305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 229918668 + ... + 229922868.

Almost surely, 2^965897146368 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 965897146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805736486048).

965897146368 is an abundant number, since it is smaller than the sum of its proper divisors (2645575825728).

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

965897146368 is an equidigital number, since it uses as much as digits as its factorization.

965897146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4224 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 965897146368 in words is "nine hundred sixty-five billion, eight hundred ninety-seven million, one hundred forty-six thousand, three hundred sixty-eight".