13542321754368 has 576 divisors, whose sum is σ = 46819438848000. Its totient is φ = 3819202928640.

The previous prime is 13542321754343. The next prime is 13542321754399. The reversal of 13542321754368 is 86345712324531.

13542321754368 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 32 + 1 + 7 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 64598583 + ... + 64807881.

It is an arithmetic number, because the mean of its divisors is an integer number (81283748000).

Almost surely, 2^{13542321754368} is an apocalyptic number.

13542321754368 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 13542321754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409719424000).

13542321754368 is an abundant number, since it is smaller than the sum of its proper divisors (33277117093632).

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

13542321754368 is a wasteful number, since it uses less digits than its factorization.

13542321754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209395 (or 209375 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 13542321754368 in words is "thirteen trillion, five hundred forty-two billion, three hundred twenty-one million, seven hundred fifty-four thousand, three hundred sixty-eight".