13414603474272 has 1536 divisors, whose sum is σ = 52677293469696. Its totient is φ = 2872914739200.

The previous prime is 13414603474243. The next prime is 13414603474331. The reversal of 13414603474272 is 27247430641431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2478217038 + ... + 2478222450.

It is an arithmetic number, because the mean of its divisors is an integer number (34295112936).

Almost surely, 2^{13414603474272} is an apocalyptic number.

13414603474272 is a gapful number since it is divisible by the number (12) 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 13414603474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338646734848).

13414603474272 is an abundant number, since it is smaller than the sum of its proper divisors (39262689995424).

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

13414603474272 is a wasteful number, since it uses less digits than its factorization.

13414603474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 13414603474272 in words is "thirteen trillion, four hundred fourteen billion, six hundred three million, four hundred seventy-four thousand, two hundred seventy-two".