14854826806416 has 315 divisors, whose sum is σ = 43649891680233. Its totient is φ = 4895137255680.

The previous prime is 14854826806411. The next prime is 14854826806427. The reversal of 14854826806416 is 61460862845841.

It is a happy number.

The square root of 14854826806416 is 3854196.

It is a perfect power (a square), and thus also a powerful number.

14854826806416 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 482 + 6 + 80 + 64 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10038733212816 + 4816093593600 = 3168396^2 + 2194560^2 .

It is not an unprimeable number, because it can be changed into a prime (14854826806411) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 52864152196 + ... + 52864152476.

Almost surely, 2^{14854826806416} is an apocalyptic number.

14854826806416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14854826806416 is the 3854196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14854826806416

14854826806416 is an abundant number, since it is smaller than the sum of its proper divisors (28795064873817).

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

14854826806416 is an frugal number, since it uses more digits than its factorization.

14854826806416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 14854826806416 in words is "fourteen trillion, eight hundred fifty-four billion, eight hundred twenty-six million, eight hundred six thousand, four hundred sixteen".