19628614656 has 528 divisors, whose sum is σ = 68669153280. Its totient is φ = 5484257280.

The previous prime is 19628614609. The next prime is 19628614669. The reversal of 19628614656 is 65641682691.

19628614656 is a `hidden beast` number, since 1 + 9 + 628 + 6 + 1 + 4 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102767521 + ... + 102767711.

Almost surely, 2^19628614656 is an apocalyptic number.

19628614656 is a gapful number since it is divisible by the number (16) 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 19628614656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34334576640).

19628614656 is an abundant number, since it is smaller than the sum of its proper divisors (49040538624).

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

19628614656 is an equidigital number, since it uses as much as digits as its factorization.

19628614656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 19628614656 in words is "nineteen billion, six hundred twenty-eight million, six hundred fourteen thousand, six hundred fifty-six".