14634434948004 has 243 divisors, whose sum is σ = 40841327591883. Its totient is φ = 4417440258528.

The previous prime is 14634434947999. The next prime is 14634434948059. The reversal of 14634434948004 is 40084943443641.

The square root of 14634434948004 is 3825498.

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

14634434948004 is a `hidden beast` number, since 1 + 4 + 6 + 34 + 43 + 494 + 80 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10030455027 + ... + 10030456485.

Almost surely, 2^{14634434948004} is an apocalyptic number.

14634434948004 is the 3825498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14634434948004

14634434948004 is an abundant number, since it is smaller than the sum of its proper divisors (26206892643879).

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

14634434948004 is a wasteful number, since it uses less digits than its factorization.

14634434948004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 14634434948004 in words is "fourteen trillion, six hundred thirty-four billion, four hundred thirty-four million, nine hundred forty-eight thousand, four".