16433967769824 has 192 divisors, whose sum is σ = 49789270460160. Its totient is φ = 4693935697920.

The previous prime is 16433967769801. The next prime is 16433967769847. The reversal of 16433967769824 is 42896776933461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16433967769801) and next prime (16433967769847).

It is a super-2 number, since 2×16433967769824² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873732 + ... + 6031484.

It is an arithmetic number, because the mean of its divisors is an integer number (259319116980).

Almost surely, 2^{16433967769824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16433967769824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24894635230080).

16433967769824 is an abundant number, since it is smaller than the sum of its proper divisors (33355302690336).

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

16433967769824 is a wasteful number, since it uses less digits than its factorization.

16433967769824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157993 (or 4157985 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 75.

The spelling of 16433967769824 in words is "sixteen trillion, four hundred thirty-three billion, nine hundred sixty-seven million, seven hundred sixty-nine thousand, eight hundred twenty-four".