14891216677632 has 144 divisors (see below), whose sum is σ = 44140554542560. Its totient is φ = 4951947571200.

The previous prime is 14891216677549. The next prime is 14891216677633. The reversal of 14891216677632 is 23677661219841.

14891216677632 is a `hidden beast` number, since 1 + 489 + 1 + 21 + 6 + 6 + 77 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 14891216677632.

It is not an unprimeable number, because it can be changed into a prime (14891216677633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351282 + ... + 5468622.

Almost surely, 2^{14891216677632} is an apocalyptic number.

14891216677632 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 14891216677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22070277271280).

14891216677632 is an abundant number, since it is smaller than the sum of its proper divisors (29249337864928).

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

14891216677632 is an equidigital number, since it uses as much as digits as its factorization.

14891216677632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117787 (or 5117767 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 14891216677632 in words is "fourteen trillion, eight hundred ninety-one billion, two hundred sixteen million, six hundred seventy-seven thousand, six hundred thirty-two".