14864149406646 has 96 divisors (see below), whose sum is σ = 34177228918560. Its totient is φ = 4840001247744.

The previous prime is 14864149406629. The next prime is 14864149406663. The reversal of 14864149406646 is 64660494146841.

14864149406646 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 41 + 494 + 0 + 66 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (14864149406629) and next prime (14864149406663).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4638606 + ... + 7158558.

It is an arithmetic number, because the mean of its divisors is an integer number (356012801235).

Almost surely, 2^{14864149406646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14864149406646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088614459280).

14864149406646 is an abundant number, since it is smaller than the sum of its proper divisors (19313079511914).

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

14864149406646 is a wasteful number, since it uses less digits than its factorization.

14864149406646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520252 (or 2520240 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 14864149406646 in words is "fourteen trillion, eight hundred sixty-four billion, one hundred forty-nine million, four hundred six thousand, six hundred forty-six".