13756473762048 has 648 divisors, whose sum is σ = 43956694436928. Its totient is φ = 4289839792128.

The previous prime is 13756473762007. The next prime is 13756473762103. The reversal of 13756473762048 is 84026737465731.

13756473762048 is a `hidden beast` number, since 1 + 3 + 7 + 56 + 4 + 7 + 376 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 3110211165 + ... + 3110215587.

Almost surely, 2^{13756473762048} is an apocalyptic number.

13756473762048 is a gapful number since it is divisible by the number (18) 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 13756473762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978347218464).

13756473762048 is an abundant number, since it is smaller than the sum of its proper divisors (30200220674880).

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

13756473762048 is an equidigital number, since it uses as much as digits as its factorization.

13756473762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 13756473762048 in words is "thirteen trillion, seven hundred fifty-six billion, four hundred seventy-three million, seven hundred sixty-two thousand, forty-eight".