14271562948608 has 2240 divisors, whose sum is σ = 54807819264000. Its totient is φ = 3607259774976.

The previous prime is 14271562948583. The next prime is 14271562948649. The reversal of 14271562948608 is 80684926517241.

It is a happy number.

14271562948608 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 1 + 562 + 9 + 4 + 8 + 60 + 8 = 666.

It is a super-3 number, since 3×14271562948608³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 160354639828 + ... + 160354639916.

Almost surely, 2^{14271562948608} is an apocalyptic number.

14271562948608 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 14271562948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27403909632000).

14271562948608 is an abundant number, since it is smaller than the sum of its proper divisors (40536256315392).

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

14271562948608 is an equidigital number, since it uses as much as digits as its factorization.

14271562948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 14271562948608 in words is "fourteen trillion, two hundred seventy-one billion, five hundred sixty-two million, nine hundred forty-eight thousand, six hundred eight".