13776946221906 has 264 divisors, whose sum is σ = 37626983815104. Its totient is φ = 3765091785840.

The previous prime is 13776946221881. The next prime is 13776946221917. The reversal of 13776946221906 is 60912264967731.

13776946221906 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 69 + 462 + 21 + 90 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 133044691 + ... + 133148201.

Almost surely, 2^{13776946221906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13776946221906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813491907552).

13776946221906 is an abundant number, since it is smaller than the sum of its proper divisors (23850037593198).

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

13776946221906 is an equidigital number, since it uses as much as digits as its factorization.

13776946221906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103580 (or 103546 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 13776946221906 in words is "thirteen trillion, seven hundred seventy-six billion, nine hundred forty-six million, two hundred twenty-one thousand, nine hundred six".