968285832377472 has 384 divisors, whose sum is σ = 3209945958236160. Its totient is φ = 274433708537856.

The previous prime is 968285832377443. The next prime is 968285832377491. The reversal of 968285832377472 is 274773238582869.

968285832377472 is a `hidden beast` number, since 9 + 6 + 8 + 2 + 8 + 58 + 3 + 23 + 77 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×968285832377472² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 968285832377391 and 968285832377400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7212866383 + ... + 7213000625.

It is an arithmetic number, because the mean of its divisors is an integer number (8359234266240).

Almost surely, 2^{968285832377472} 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 968285832377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604972979118080).

968285832377472 is an abundant number, since it is smaller than the sum of its proper divisors (2241660125858688).

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

968285832377472 is a wasteful number, since it uses less digits than its factorization.

968285832377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141440 (or 141425 counting only the distinct ones).

The product of its digits is 13655900160, while the sum is 81.

The spelling of 968285832377472 in words is "nine hundred sixty-eight trillion, two hundred eighty-five billion, eight hundred thirty-two million, three hundred seventy-seven thousand, four hundred seventy-two".