13528421291745 has 128 divisors (see below), whose sum is σ = 24946373760000. Its totient is φ = 6950385377280.

The previous prime is 13528421291687. The next prime is 13528421291753. The reversal of 13528421291745 is 54719212482531.

13528421291745 is a `hidden beast` number, since 1 + 3 + 5 + 28 + 421 + 29 + 174 + 5 = 666.

It is not a de Polignac number, because 13528421291745 - 2¹¹ = 13528421289697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13528421291691 and 13528421291700.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 761683665 + ... + 761701425.

It is an arithmetic number, because the mean of its divisors is an integer number (194893545000).

Almost surely, 2^{13528421291745} is an apocalyptic number.

13528421291745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13528421291745 is a deficient number, since it is larger than the sum of its proper divisors (11417952468255).

13528421291745 is a wasteful number, since it uses less digits than its factorization.

13528421291745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19320 (or 19314 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 13528421291745 in words is "thirteen trillion, five hundred twenty-eight billion, four hundred twenty-one million, two hundred ninety-one thousand, seven hundred forty-five".