12683464191090 has 384 divisors, whose sum is σ = 42988008960000. Its totient is φ = 2515869227520.

The previous prime is 12683464191089. The next prime is 12683464191103. The reversal of 12683464191090 is 9019146438621.

12683464191090 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 3 + 464 + 1 + 91 + 0 + 90 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79455876 + ... + 79615344.

It is an arithmetic number, because the mean of its divisors is an integer number (111947940000).

Almost surely, 2^{12683464191090} is an apocalyptic number.

12683464191090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12683464191090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494004480000).

12683464191090 is an abundant number, since it is smaller than the sum of its proper divisors (30304544768910).

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

12683464191090 is a wasteful number, since it uses less digits than its factorization.

12683464191090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160022 (or 160019 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12683464191090 in words is "twelve trillion, six hundred eighty-three billion, four hundred sixty-four million, one hundred ninety-one thousand, ninety".