14746418116416 has 168 divisors, whose sum is σ = 48426692543424. Its totient is φ = 4202754969600.

The previous prime is 14746418116393. The next prime is 14746418116421. The reversal of 14746418116416 is 61461181464741.

14746418116416 is a `hidden beast` number, since 1 + 4 + 7 + 46 + 4 + 181 + 1 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2943450 + ... + 6177113.

Almost surely, 2^{14746418116416} is an apocalyptic number.

14746418116416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14746418116416 is an abundant number, since it is smaller than the sum of its proper divisors (33680274427008).

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

14746418116416 is a wasteful number, since it uses less digits than its factorization.

14746418116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120989 (or 9120976 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 14746418116416 in words is "fourteen trillion, seven hundred forty-six billion, four hundred eighteen million, one hundred sixteen thousand, four hundred sixteen".