16819923456 has 720 divisors, whose sum is σ = 61128587520. Its totient is φ = 4598415360.

The previous prime is 16819923401. The next prime is 16819923467. The reversal of 16819923456 is 65432991861.

16819923456 is a `hidden beast` number, since 1 + 6 + 81 + 99 + 23 + 456 = 666.

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

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, 188987860 + ... + 188987948.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 2^16819923456 is an apocalyptic number.

16819923456 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 16819923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

16819923456 is an abundant number, since it is smaller than the sum of its proper divisors (44308664064).

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

16819923456 is an frugal number, since it uses more digits than its factorization.

16819923456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 16819923456 in words is "sixteen billion, eight hundred nineteen million, nine hundred twenty-three thousand, four hundred fifty-six".