14948491483008 has 384 divisors, whose sum is σ = 48576121776000. Its totient is φ = 4557792540672.

The previous prime is 14948491483007. The next prime is 14948491483033. The reversal of 14948491483008 is 80038419484941.

14948491483008 is a `hidden beast` number, since 1 + 4 + 9 + 484 + 9 + 148 + 3 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14948491483007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16702191 + ... + 17574417.

It is an arithmetic number, because the mean of its divisors is an integer number (126500317125).

Almost surely, 2^{14948491483008} is an apocalyptic number.

14948491483008 is a gapful number since it is divisible by the number (18) 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 14948491483008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288060888000).

14948491483008 is an abundant number, since it is smaller than the sum of its proper divisors (33627630292992).

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

14948491483008 is an equidigital number, since it uses as much as digits as its factorization.

14948491483008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872304 (or 872280 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 14948491483008 in words is "fourteen trillion, nine hundred forty-eight billion, four hundred ninety-one million, four hundred eighty-three thousand, eight".