13735558368 has 384 divisors, whose sum is σ = 48076922880. Its totient is φ = 3732480000.

The previous prime is 13735558367. The next prime is 13735558411. The reversal of 13735558368 is 86385553731.

13735558368 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 55 + 583 + 6 + 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 not an unprimeable number, because it can be changed into a prime (13735558367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11436168 + ... + 11437368.

It is an arithmetic number, because the mean of its divisors is an integer number (125200320).

Almost surely, 2^13735558368 is an apocalyptic number.

13735558368 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 13735558368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24038461440).

13735558368 is an abundant number, since it is smaller than the sum of its proper divisors (34341364512).

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

13735558368 is a wasteful number, since it uses less digits than its factorization.

13735558368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1305 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 13735558368 in words is "thirteen billion, seven hundred thirty-five million, five hundred fifty-eight thousand, three hundred sixty-eight".