14814828146952 has 128 divisors (see below), whose sum is σ = 43545010176000. Its totient is φ = 4653872470080.

The previous prime is 14814828146947. The next prime is 14814828146969. The reversal of 14814828146952 is 25964182841841.

14814828146952 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 48 + 2 + 81 + 469 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14814828146952.

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 31 ways as a sum of consecutive naturals, for example, 8666008 + ... + 10233735.

It is an arithmetic number, because the mean of its divisors is an integer number (340195392000).

Almost surely, 2^{14814828146952} is an apocalyptic number.

14814828146952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14814828146952 is an abundant number, since it is smaller than the sum of its proper divisors (28730182029048).

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

14814828146952 is a wasteful number, since it uses less digits than its factorization.

14814828146952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18899968 (or 18899958 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 14814828146952 in words is "fourteen trillion, eight hundred fourteen billion, eight hundred twenty-eight million, one hundred forty-six thousand, nine hundred fifty-two".