14963263801920 has 672 divisors, whose sum is σ = 61495616212992. Its totient is φ = 3265163218944.

The previous prime is 14963263801901. The next prime is 14963263801939. The reversal of 14963263801920 is 2910836236941.

14963263801920 is a `hidden beast` number, since 1 + 49 + 6 + 32 + 6 + 380 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14963263801901) and next prime (14963263801939).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242473789 + ... + 242535491.

Almost surely, 2^{14963263801920} is an apocalyptic number.

14963263801920 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 14963263801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30747808106496).

14963263801920 is an abundant number, since it is smaller than the sum of its proper divisors (46532352411072).

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

14963263801920 is a wasteful number, since it uses less digits than its factorization.

14963263801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62279 (or 62266 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 14963263801920 in words is "fourteen trillion, nine hundred sixty-three billion, two hundred sixty-three million, eight hundred one thousand, nine hundred twenty".