14490142654464 has 405 divisors, whose sum is σ = 43859988576859. Its totient is φ = 4609326120960.

The previous prime is 14490142654451. The next prime is 14490142654483. The reversal of 14490142654464 is 46445624109441.

It is a happy number.

The square root of 14490142654464 is 3806592.

It is a perfect power (a square), and thus also a powerful number.

14490142654464 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 0 + 14 + 26 + 544 + 64 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14490142654464.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33619820329 + ... + 33619820759.

Almost surely, 2^{14490142654464} is an apocalyptic number.

14490142654464 is the 3806592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14490142654464

14490142654464 is an abundant number, since it is smaller than the sum of its proper divisors (29369845922395).

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

14490142654464 is an frugal number, since it uses more digits than its factorization.

14490142654464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 14490142654464 in words is "fourteen trillion, four hundred ninety billion, one hundred forty-two million, six hundred fifty-four thousand, four hundred sixty-four".