14677630000000 has 1024 divisors, whose sum is σ = 43375388958720. Its totient is φ = 4887040000000.

The previous prime is 14677629999947. The next prime is 14677630000013. The reversal of 14677630000000 is 3677641.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87889999917 + ... + 87890000083.

It is an arithmetic number, because the mean of its divisors is an integer number (42358778280).

Almost surely, 2^{14677630000000} is an apocalyptic number.

14677630000000 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 14677630000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21687694479360).

14677630000000 is an abundant number, since it is smaller than the sum of its proper divisors (28697758958720).

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

14677630000000 is an frugal number, since it uses more digits than its factorization.

14677630000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

Adding to 14677630000000 its reverse (3677641), we get a palindrome (14677633677641).

The spelling of 14677630000000 in words is "fourteen trillion, six hundred seventy-seven billion, six hundred thirty million", and thus it is an aban number.