14980822464000 has 640 divisors, whose sum is σ = 50335393185792. Its totient is φ = 3952727654400.

The previous prime is 14980822463989. The next prime is 14980822464007. The reversal of 14980822464000 is 46422808941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14980822464007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13581887449 + ... + 13581888551.

Almost surely, 2^{14980822464000} is an apocalyptic number.

14980822464000 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 14980822464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25167696592896).

14980822464000 is an abundant number, since it is smaller than the sum of its proper divisors (35354570721792).

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

14980822464000 is a wasteful number, since it uses less digits than its factorization.

14980822464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 14980822464000 in words is "fourteen trillion, nine hundred eighty billion, eight hundred twenty-two million, four hundred sixty-four thousand".