965117619216 has 225 divisors, whose sum is σ = 2896051198183. Its totient is φ = 310282479360.

The previous prime is 965117619199. The next prime is 965117619233. The reversal of 965117619216 is 612916711569.

The square root of 965117619216 is 982404.

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

965117619216 is a `hidden beast` number, since 9 + 6 + 5 + 1 + 1 + 7 + 619 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (965117619199) and next prime (965117619233).

It can be written as a sum of positive squares in 4 ways, for example, as 20333619216 + 944784000000 = 142596^2 + 972000^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1025629306 + ... + 1025630246.

Almost surely, 2^965117619216 is an apocalyptic number.

965117619216 is the 982404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965117619216

965117619216 is an abundant number, since it is smaller than the sum of its proper divisors (1930933578967).

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

965117619216 is an frugal number, since it uses more digits than its factorization.

965117619216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 975 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The spelling of 965117619216 in words is "nine hundred sixty-five billion, one hundred seventeen million, six hundred nineteen thousand, two hundred sixteen".