13741656991104 has 256 divisors, whose sum is σ = 42110275092480. Its totient is φ = 3889152755712.

The previous prime is 13741656991103. The next prime is 13741656991123. The reversal of 13741656991104 is 40119965614731.

It is a super-2 number, since 2×13741656991104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13741656991103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 219473467 + ... + 219536069.

It is an arithmetic number, because the mean of its divisors is an integer number (164493262080).

Almost surely, 2^{13741656991104} is an apocalyptic number.

13741656991104 is a gapful number since it is divisible by the number (14) 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 13741656991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055137546240).

13741656991104 is an abundant number, since it is smaller than the sum of its proper divisors (28368618101376).

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

13741656991104 is a wasteful number, since it uses less digits than its factorization.

13741656991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63397 (or 63385 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 13741656991104 in words is "thirteen trillion, seven hundred forty-one billion, six hundred fifty-six million, nine hundred ninety-one thousand, one hundred four".