14460287146000 has 40 divisors (see below), whose sum is σ = 34964974323864. Its totient is φ = 5784114857600.

The previous prime is 14460287145991. The next prime is 14460287146001. The reversal of 14460287146000 is 64178206441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31472179216 + 14428814966784 = 177404^2 + 3798528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14460287146001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3615069787 + ... + 3615073786.

Almost surely, 2^{14460287146000} is an apocalyptic number.

14460287146000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14460287146000 is an abundant number, since it is smaller than the sum of its proper divisors (20504687177864).

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

14460287146000 is an equidigital number, since it uses as much as digits as its factorization.

14460287146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230143596 (or 7230143580 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 14460287146000 in words is "fourteen trillion, four hundred sixty billion, two hundred eighty-seven million, one hundred forty-six thousand".