14768633628 has 144 divisors (see below), whose sum is σ = 44374826496. Its totient is φ = 4053732480.

The previous prime is 14768633623. The next prime is 14768633639. The reversal of 14768633628 is 82633686741.

14768633628 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 8 + 6 + 3 + 3 + 628 = 666.

It is a super-2 number, since 2×14768633628² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768633623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649825 + ... + 672167.

Almost surely, 2^14768633628 is an apocalyptic number.

14768633628 is a gapful number since it is divisible by the number (18) 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 14768633628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187413248).

14768633628 is an abundant number, since it is smaller than the sum of its proper divisors (29606192868).

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

14768633628 is a wasteful number, since it uses less digits than its factorization.

14768633628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22464 (or 22459 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 14768633628 in words is "fourteen billion, seven hundred sixty-eight million, six hundred thirty-three thousand, six hundred twenty-eight".