13786900475904 has 208 divisors, whose sum is σ = 40858018560000. Its totient is φ = 4594178801664.

The previous prime is 13786900475797. The next prime is 13786900475911. The reversal of 13786900475904 is 40957400968731.

13786900475904 is a `hidden beast` number, since 1 + 3 + 78 + 6 + 9 + 0 + 0 + 475 + 90 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382962097 + ... + 382998095.

Almost surely, 2^{13786900475904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13786900475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429009280000).

13786900475904 is an abundant number, since it is smaller than the sum of its proper divisors (27071118084096).

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

13786900475904 is an equidigital number, since it uses as much as digits as its factorization.

13786900475904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39495 (or 39467 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 13786900475904 in words is "thirteen trillion, seven hundred eighty-six billion, nine hundred million, four hundred seventy-five thousand, nine hundred four".