14534774585568 has 144 divisors (see below), whose sum is σ = 42051974380416. Its totient is φ = 4761125187840.

The previous prime is 14534774585549. The next prime is 14534774585603. The reversal of 14534774585568 is 86558547743541.

14534774585568 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 7 + 7 + 4 + 58 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14534774585568² (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 junction number, because it is equal to n+sod(n) for n = 14534774585496 and 14534774585505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5119855 + ... + 7435217.

It is an arithmetic number, because the mean of its divisors is an integer number (292027599864).

Almost surely, 2^{14534774585568} is an apocalyptic number.

14534774585568 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 14534774585568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025987190208).

14534774585568 is an abundant number, since it is smaller than the sum of its proper divisors (27517199794848).

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

14534774585568 is a wasteful number, since it uses less digits than its factorization.

14534774585568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315757 (or 2315746 counting only the distinct ones).

The product of its digits is 2257920000, while the sum is 72.

The spelling of 14534774585568 in words is "fourteen trillion, five hundred thirty-four billion, seven hundred seventy-four million, five hundred eighty-five thousand, five hundred sixty-eight".