14630685989760 has 768 divisors, whose sum is σ = 55119040704000. Its totient is φ = 3703066730496.

The previous prime is 14630685989743. The next prime is 14630685989771. The reversal of 14630685989760 is 6798958603641.

14630685989760 is a `hidden beast` number, since 1 + 463 + 0 + 6 + 8 + 5 + 98 + 9 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266067229 + ... + 266122211.

It is an arithmetic number, because the mean of its divisors is an integer number (71769584250).

Almost surely, 2^{14630685989760} is an apocalyptic number.

14630685989760 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 14630685989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27559520352000).

14630685989760 is an abundant number, since it is smaller than the sum of its proper divisors (40488354714240).

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

14630685989760 is an equidigital number, since it uses as much as digits as its factorization.

14630685989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55105 (or 55081 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 14630685989760 in words is "fourteen trillion, six hundred thirty billion, six hundred eighty-five million, nine hundred eighty-nine thousand, seven hundred sixty".