13141174771424 has 192 divisors, whose sum is σ = 31595571504000. Its totient is φ = 5251803906048.

The previous prime is 13141174771337. The next prime is 13141174771463. The reversal of 13141174771424 is 42417747114131.

It is a super-2 number, since 2×13141174771424² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000480012 + ... + 2000486580.

It is an arithmetic number, because the mean of its divisors is an integer number (164560268250).

Almost surely, 2^{13141174771424} is an apocalyptic number.

13141174771424 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 13141174771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797785752000).

13141174771424 is an abundant number, since it is smaller than the sum of its proper divisors (18454396732576).

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

13141174771424 is a wasteful number, since it uses less digits than its factorization.

13141174771424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11365 (or 11357 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The spelling of 13141174771424 in words is "thirteen trillion, one hundred forty-one billion, one hundred seventy-four million, seven hundred seventy-one thousand, four hundred twenty-four".