3098468256768 has 1056 divisors, whose sum is σ = 10443433728000. Its totient is φ = 914248581120.

The previous prime is 3098468256757. The next prime is 3098468256781. The reversal of 3098468256768 is 8676528648903.

3098468256768 is a `hidden beast` number, since 3 + 0 + 98 + 468 + 2 + 5 + 6 + 76 + 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 = 3098468256696 and 3098468256705.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99950588913 + ... + 99950588943.

Almost surely, 2^{3098468256768} is an apocalyptic number.

3098468256768 is a gapful number since it is divisible by the number (38) 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 3098468256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221716864000).

3098468256768 is an abundant number, since it is smaller than the sum of its proper divisors (7344965471232).

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

3098468256768 is an frugal number, since it uses more digits than its factorization.

3098468256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 3098468256768 in words is "three trillion, ninety-eight billion, four hundred sixty-eight million, two hundred fifty-six thousand, seven hundred sixty-eight".