14742643267460 has 192 divisors, whose sum is σ = 33162987755520. Its totient is φ = 5495691264000.

The previous prime is 14742643267459. The next prime is 14742643267483. The reversal of 14742643267460 is 6476234624741.

It is a junction number, because it is equal to n+sod(n) for n = 14742643267396 and 14742643267405.

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 63 ways as a sum of consecutive naturals, for example, 764293496 + ... + 764312784.

It is an arithmetic number, because the mean of its divisors is an integer number (172723894560).

Almost surely, 2^{14742643267460} is an apocalyptic number.

14742643267460 is a gapful number since it is divisible by the number (10) 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 14742643267460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581493877760).

14742643267460 is an abundant number, since it is smaller than the sum of its proper divisors (18420344488060).

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

14742643267460 is a wasteful number, since it uses less digits than its factorization.

14742643267460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758 (or 19756 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 56.

The spelling of 14742643267460 in words is "fourteen trillion, seven hundred forty-two billion, six hundred forty-three million, two hundred sixty-seven thousand, four hundred sixty".