14541355008 has 384 divisors, whose sum is σ = 47174400000. Its totient is φ = 4405985280.

The previous prime is 14541355001. The next prime is 14541355013. The reversal of 14541355008 is 80055314541.

14541355008 is a `hidden beast` number, since 14 + 5 + 4 + 135 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14541355008² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14541355001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29140743 + ... + 29141241.

It is an arithmetic number, because the mean of its divisors is an integer number (122850000).

Almost surely, 2^14541355008 is an apocalyptic number.

14541355008 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 14541355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200000).

14541355008 is an abundant number, since it is smaller than the sum of its proper divisors (32633044992).

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

14541355008 is a wasteful number, since it uses less digits than its factorization.

14541355008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 14541355008 its reverse (80055314541), we get a palindrome (94596669549).

The spelling of 14541355008 in words is "fourteen billion, five hundred forty-one million, three hundred fifty-five thousand, eight".