13748454174312 has 960 divisors, whose sum is σ = 49001261506560. Its totient is φ = 3559631961600.

The previous prime is 13748454174311. The next prime is 13748454174317. The reversal of 13748454174312 is 21347145484731.

13748454174312 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 8 + 454 + 174 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13748454174311) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 858894613 + ... + 858910619.

It is an arithmetic number, because the mean of its divisors is an integer number (51042980736).

Almost surely, 2^{13748454174312} is an apocalyptic number.

13748454174312 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 13748454174312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500630753280).

13748454174312 is an abundant number, since it is smaller than the sum of its proper divisors (35252807332248).

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

13748454174312 is a wasteful number, since it uses less digits than its factorization.

13748454174312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16116 (or 16090 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 13748454174312 in words is "thirteen trillion, seven hundred forty-eight billion, four hundred fifty-four million, one hundred seventy-four thousand, three hundred twelve".