14734911102912 has 1680 divisors, whose sum is σ = 59989548060288. Its totient is φ = 3515314360320.

The previous prime is 14734911102889. The next prime is 14734911102953. The reversal of 14734911102912 is 21920111943741.

14734911102912 is a `hidden beast` number, since 1 + 4 + 7 + 349 + 1 + 1 + 10 + 291 + 2 = 666.

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 239 ways as a sum of consecutive naturals, for example, 8245612483 + ... + 8245614269.

Almost surely, 2^{14734911102912} is an apocalyptic number.

14734911102912 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 14734911102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29994774030144).

14734911102912 is an abundant number, since it is smaller than the sum of its proper divisors (45254636957376).

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

14734911102912 is a wasteful number, since it uses less digits than its factorization.

14734911102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 14734911102912 in words is "fourteen trillion, seven hundred thirty-four billion, nine hundred eleven million, one hundred two thousand, nine hundred twelve".