13734401541 has 192 divisors, whose sum is σ = 25166592000. Its totient is φ = 6614576640.

The previous prime is 13734401533. The next prime is 13734401561. The reversal of 13734401541 is 14510443731.

It is not a de Polignac number, because 13734401541 - 2³ = 13734401533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13734401561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319404666 + ... + 319404708.

It is an arithmetic number, because the mean of its divisors is an integer number (131076000).

Almost surely, 2^13734401541 is an apocalyptic number.

It is an amenable number.

13734401541 is a deficient number, since it is larger than the sum of its proper divisors (11432190459).

13734401541 is a wasteful number, since it uses less digits than its factorization.

13734401541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13734401541 in words is "thirteen billion, seven hundred thirty-four million, four hundred one thousand, five hundred forty-one".