16617944448 has 320 divisors, whose sum is σ = 59848826400. Its totient is φ = 4468359168.

The previous prime is 16617944437. The next prime is 16617944461. The reversal of 16617944448 is 84444971661.

16617944448 is a `hidden beast` number, since 16 + 617 + 9 + 4 + 4 + 4 + 4 + 8 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 16617944394 and 16617944403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1227058 + ... + 1240526.

Almost surely, 2^16617944448 is an apocalyptic number.

16617944448 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 16617944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29924413200).

16617944448 is an abundant number, since it is smaller than the sum of its proper divisors (43230881952).

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

16617944448 is a wasteful number, since it uses less digits than its factorization.

16617944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519 (or 13498 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 16617944448 in words is "sixteen billion, six hundred seventeen million, nine hundred forty-four thousand, four hundred forty-eight".