16224693408 has 432 divisors, whose sum is σ = 61643967840. Its totient is φ = 3991680000.

The previous prime is 16224693379. The next prime is 16224693413. The reversal of 16224693408 is 80439642261.

16224693408 is a `hidden beast` number, since 1 + 62 + 246 + 9 + 340 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2946658 + ... + 2952158.

It is an arithmetic number, because the mean of its divisors is an integer number (142694370).

Almost surely, 2^16224693408 is an apocalyptic number.

16224693408 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 16224693408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30821983920).

16224693408 is an abundant number, since it is smaller than the sum of its proper divisors (45419274432).

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

16224693408 is a wasteful number, since it uses less digits than its factorization.

16224693408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16224693408 in words is "sixteen billion, two hundred twenty-four million, six hundred ninety-three thousand, four hundred eight".