16448769792 has 720 divisors, whose sum is σ = 63156656640. Its totient is φ = 4138573824.

The previous prime is 16448769773. The next prime is 16448769817. The reversal of 16448769792 is 29796784461.

16448769792 is a `hidden beast` number, since 1 + 6 + 4 + 487 + 69 + 7 + 92 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43400259 + ... + 43400637.

Almost surely, 2^16448769792 is an apocalyptic number.

16448769792 is a gapful number since it is divisible by the number (12) 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 16448769792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31578328320).

16448769792 is an abundant number, since it is smaller than the sum of its proper divisors (46707886848).

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

16448769792 is a wasteful number, since it uses less digits than its factorization.

16448769792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 427 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 16448769792 in words is "sixteen billion, four hundred forty-eight million, seven hundred sixty-nine thousand, seven hundred ninety-two".