13541009908608 has 3072 divisors, whose sum is σ = 56612545920000. Its totient is φ = 3138293071872.

The previous prime is 13541009908597. The next prime is 13541009908651. The reversal of 13541009908608 is 80680990014531.

13541009908608 is a `hidden beast` number, since 1 + 3 + 541 + 0 + 0 + 9 + 90 + 8 + 6 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 97417337403 + ... + 97417337541.

It is an arithmetic number, because the mean of its divisors is an integer number (18428563125).

Almost surely, 2^{13541009908608} is an apocalyptic number.

13541009908608 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 13541009908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28306272960000).

13541009908608 is an abundant number, since it is smaller than the sum of its proper divisors (43071536011392).

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

13541009908608 is a wasteful number, since it uses less digits than its factorization.

13541009908608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 13541009908608 in words is "thirteen trillion, five hundred forty-one billion, nine million, nine hundred eight thousand, six hundred eight".