13485431703744 has 3584 divisors, whose sum is σ = 57809977344000. Its totient is φ = 2970855014400.

The previous prime is 13485431703727. The next prime is 13485431703763. The reversal of 13485431703744 is 44730713458431.

It is a happy number.

13485431703744 is a `hidden beast` number, since 1 + 3 + 48 + 543 + 17 + 0 + 3 + 7 + 44 = 666.

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

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 511 ways as a sum of consecutive naturals, for example, 162475080727 + ... + 162475080809.

It is an arithmetic number, because the mean of its divisors is an integer number (16130016000).

Almost surely, 2^{13485431703744} is an apocalyptic number.

13485431703744 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 13485431703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28904988672000).

13485431703744 is an abundant number, since it is smaller than the sum of its proper divisors (44324545640256).

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

13485431703744 is a wasteful number, since it uses less digits than its factorization.

13485431703744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 13485431703744 in words is "thirteen trillion, four hundred eighty-five billion, four hundred thirty-one million, seven hundred three thousand, seven hundred forty-four".