10486182786048 has 176 divisors, whose sum is σ = 31191825072960. Its totient is φ = 3479993966592.

The previous prime is 10486182786029. The next prime is 10486182786073. The reversal of 10486182786048 is 84068728168401.

10486182786048 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 6 + 18 + 2 + 7 + 8 + 604 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5440690 + ... + 7111502.

Almost surely, 2^{10486182786048} is an apocalyptic number.

10486182786048 is a gapful number since it is divisible by the number (18) 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 10486182786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595912536480).

10486182786048 is an abundant number, since it is smaller than the sum of its proper divisors (20705642286912).

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

10486182786048 is a wasteful number, since it uses less digits than its factorization.

10486182786048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671069 (or 1671045 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 10486182786048 in words is "ten trillion, four hundred eighty-six billion, one hundred eighty-two million, seven hundred eighty-six thousand, forty-eight".