35198104868064 has 480 divisors, whose sum is σ = 109565029195776. Its totient is φ = 11062925153280.

The previous prime is 35198104868057. The next prime is 35198104868077. The reversal of 35198104868064 is 46086840189153.

35198104868064 is a `hidden beast` number, since 3 + 5 + 1 + 9 + 8 + 10 + 486 + 80 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35198104867992 and 35198104868010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1188668619 + ... + 1188698229.

Almost surely, 2^{35198104868064} 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 35198104868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54782514597888).

35198104868064 is an abundant number, since it is smaller than the sum of its proper divisors (74366924327712).

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

35198104868064 is a wasteful number, since it uses less digits than its factorization.

35198104868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29940 (or 29923 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 35198104868064 in words is "thirty-five trillion, one hundred ninety-eight billion, one hundred four million, eight hundred sixty-eight thousand, sixty-four".