13754437538688 has 1152 divisors, whose sum is σ = 52609933434240. Its totient is φ = 3536773632000.

The previous prime is 13754437538671. The next prime is 13754437538707. The reversal of 13754437538688 is 88683573445731.

13754437538688 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 4 + 4 + 3 + 7 + 538 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13754437538688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 1693266595 + ... + 1693274717.

It is an arithmetic number, because the mean of its divisors is an integer number (45668344995).

Almost surely, 2^{13754437538688} is an apocalyptic number.

13754437538688 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 13754437538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304966717120).

13754437538688 is an abundant number, since it is smaller than the sum of its proper divisors (38855495895552).

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

13754437538688 is a wasteful number, since it uses less digits than its factorization.

13754437538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8247 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 13754437538688 in words is "thirteen trillion, seven hundred fifty-four billion, four hundred thirty-seven million, five hundred thirty-eight thousand, six hundred eighty-eight".