16628867136 has 336 divisors, whose sum is σ = 57077156864. Its totient is φ = 4701805056.

The previous prime is 16628867093. The next prime is 16628867141. The reversal of 16628867136 is 63176882661.

16628867136 is a `hidden beast` number, since 1 + 6 + 628 + 8 + 6 + 7 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 11212251 + ... + 11213733.

Almost surely, 2^16628867136 is an apocalyptic number.

16628867136 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 16628867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28538578432).

16628867136 is an abundant number, since it is smaller than the sum of its proper divisors (40448289728).

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

16628867136 is a wasteful number, since it uses less digits than its factorization.

16628867136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1598 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 16628867136 in words is "sixteen billion, six hundred twenty-eight million, eight hundred sixty-seven thousand, one hundred thirty-six".