13926690805248 has 480 divisors, whose sum is σ = 45719938424160. Its totient is φ = 4045650001920.

The previous prime is 13926690805243. The next prime is 13926690805253. The reversal of 13926690805248 is 84250809662931.

13926690805248 is a `hidden beast` number, since 1 + 3 + 9 + 26 + 6 + 9 + 0 + 80 + 524 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13926690805243) and next prime (13926690805253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13926690805243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333464688 + ... + 333506448.

It is an arithmetic number, because the mean of its divisors is an integer number (95249871717).

Almost surely, 2^{13926690805248} is an apocalyptic number.

13926690805248 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 13926690805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22859969212080).

13926690805248 is an abundant number, since it is smaller than the sum of its proper divisors (31793247618912).

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

13926690805248 is a wasteful number, since it uses less digits than its factorization.

13926690805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42110 (or 42091 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 13926690805248 in words is "thirteen trillion, nine hundred twenty-six billion, six hundred ninety million, eight hundred five thousand, two hundred forty-eight".