14490977760000 has 2700 divisors, whose sum is σ = 66170836273080. Its totient is φ = 3135283200000.

The previous prime is 14490977759893. The next prime is 14490977760011. The reversal of 14490977760000 is 6777909441.

14490977760000 is a `hidden beast` number, since 1 + 4 + 490 + 97 + 7 + 7 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 12065759400 + ... + 12065760600.

Almost surely, 2^{14490977760000} is an apocalyptic number.

14490977760000 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 14490977760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33085418136540).

14490977760000 is an abundant number, since it is smaller than the sum of its proper divisors (51679858513080).

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

14490977760000 is an equidigital number, since it uses as much as digits as its factorization.

14490977760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 14490977760000 in words is "fourteen trillion, four hundred ninety billion, nine hundred seventy-seven million, seven hundred sixty thousand".