14946040512 has 224 divisors, whose sum is σ = 47505884160. Its totient is φ = 4580582400.

The previous prime is 14946040489. The next prime is 14946040567. The reversal of 14946040512 is 21504064941.

14946040512 is a `hidden beast` number, since 1 + 49 + 4 + 60 + 40 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6356137 + ... + 6358487.

It is an arithmetic number, because the mean of its divisors is an integer number (212079840).

Almost surely, 2^14946040512 is an apocalyptic number.

14946040512 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 14946040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23752942080).

14946040512 is an abundant number, since it is smaller than the sum of its proper divisors (32559843648).

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

14946040512 is a wasteful number, since it uses less digits than its factorization.

14946040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14946040512 in words is "fourteen billion, nine hundred forty-six million, forty thousand, five hundred twelve".