13485735625376 has 48 divisors (see below), whose sum is σ = 30581825734656. Its totient is φ = 5734092301056.

The previous prime is 13485735625367. The next prime is 13485735625393. The reversal of 13485735625376 is 67352653758431.

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 7 ways as a sum of consecutive naturals, for example, 236995871 + ... + 237052766.

It is an arithmetic number, because the mean of its divisors is an integer number (637121369472).

Almost surely, 2^{13485735625376} is an apocalyptic number.

13485735625376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13485735625376 is an abundant number, since it is smaller than the sum of its proper divisors (17096090109280).

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

13485735625376 is a wasteful number, since it uses less digits than its factorization.

13485735625376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474048781 (or 474048773 counting only the distinct ones).

The product of its digits is 381024000, while the sum is 65.

The spelling of 13485735625376 in words is "thirteen trillion, four hundred eighty-five billion, seven hundred thirty-five million, six hundred twenty-five thousand, three hundred seventy-six".