14457222076608 has 560 divisors, whose sum is σ = 45268143022080. Its totient is φ = 4572089432064.

The previous prime is 14457222076603. The next prime is 14457222076651. The reversal of 14457222076608 is 80667022275441.

14457222076608 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 7 + 2 + 2 + 20 + 7 + 6 + 608 = 666.

It is a super-2 number, since 2×14457222076608² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14457222076603) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3679616788 + ... + 3679620716.

Almost surely, 2^{14457222076608} is an apocalyptic number.

14457222076608 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 14457222076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22634071511040).

14457222076608 is an abundant number, since it is smaller than the sum of its proper divisors (30810920945472).

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

14457222076608 is an frugal number, since it uses more digits than its factorization.

14457222076608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 14457222076608 in words is "fourteen trillion, four hundred fifty-seven billion, two hundred twenty-two million, seventy-six thousand, six hundred eight".