13954933964160 has 2560 divisors, whose sum is σ = 64462917657600. Its totient is φ = 2800040804352.

The previous prime is 13954933964159. The next prime is 13954933964183. The reversal of 13954933964160 is 6146933945931.

13954933964160 is a `hidden beast` number, since 1 + 3 + 95 + 49 + 3 + 3 + 96 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 7853085192 + ... + 7853086968.

It is an arithmetic number, because the mean of its divisors is an integer number (25180827210).

Almost surely, 2^{13954933964160} is an apocalyptic number.

13954933964160 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 13954933964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32231458828800).

13954933964160 is an abundant number, since it is smaller than the sum of its proper divisors (50507983693440).

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

13954933964160 is a wasteful number, since it uses less digits than its factorization.

13954933964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 13954933964160 in words is "thirteen trillion, nine hundred fifty-four billion, nine hundred thirty-three million, nine hundred sixty-four thousand, one hundred sixty".