14771446200672 has 288 divisors, whose sum is σ = 46154138204160. Its totient is φ = 4122656778240.

The previous prime is 14771446200593. The next prime is 14771446200673. The reversal of 14771446200672 is 27600264417741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14771446200673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115122729 + ... + 115250967.

It is an arithmetic number, because the mean of its divisors is an integer number (160257424320).

Almost surely, 2^{14771446200672} is an apocalyptic number.

14771446200672 is a gapful number since it is divisible by the number (12) 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 14771446200672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23077069102080).

14771446200672 is an abundant number, since it is smaller than the sum of its proper divisors (31382692003488).

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

14771446200672 is a wasteful number, since it uses less digits than its factorization.

14771446200672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128834 (or 128819 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 14771446200672 in words is "fourteen trillion, seven hundred seventy-one billion, four hundred forty-six million, two hundred thousand, six hundred seventy-two".