14454241464630 has 384 divisors, whose sum is σ = 41933135462400. Its totient is φ = 3173385600000.

The previous prime is 14454241464617. The next prime is 14454241464643. The reversal of 14454241464630 is 3646414245441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14454241464617) and next prime (14454241464643).

It is a self number, because there is not a number n which added to its sum of digits gives 14454241464630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201977355 + ... + 202048905.

It is an arithmetic number, because the mean of its divisors is an integer number (109200873600).

Almost surely, 2^{14454241464630} is an apocalyptic number.

14454241464630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14454241464630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966567731200).

14454241464630 is an abundant number, since it is smaller than the sum of its proper divisors (27478893997770).

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

14454241464630 is a wasteful number, since it uses less digits than its factorization.

14454241464630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71732 (or 71721 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 14454241464630 in words is "fourteen trillion, four hundred fifty-four billion, two hundred forty-one million, four hundred sixty-four thousand, six hundred thirty".