1167568390656 has 480 divisors, whose sum is σ = 3861074625408. Its totient is φ = 350355456000.

The previous prime is 1167568390627. The next prime is 1167568390693. The reversal of 1167568390656 is 6560938657611.

1167568390656 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 568 + 3 + 9 + 0 + 65 + 6 = 666.

It is a super-2 number, since 2×1167568390656² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1167568390593 and 1167568390602.

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, 48634656 + ... + 48658656.

Almost surely, 2^{1167568390656} is an apocalyptic number.

1167568390656 is a gapful number since it is divisible by the number (16) 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 1167568390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930537312704).

1167568390656 is an abundant number, since it is smaller than the sum of its proper divisors (2693506234752).

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

1167568390656 is an equidigital number, since it uses as much as digits as its factorization.

1167568390656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24074 (or 24046 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 1167568390656 in words is "one trillion, one hundred sixty-seven billion, five hundred sixty-eight million, three hundred ninety thousand, six hundred fifty-six".