16429431648 has 192 divisors, whose sum is σ = 50019475968. Its totient is φ = 4624957440.

The previous prime is 16429431619. The next prime is 16429431673. The reversal of 16429431648 is 84613492461.

It is a happy number.

16429431648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 16429431597 and 16429431606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20011078 + ... + 20011898.

It is an arithmetic number, because the mean of its divisors is an integer number (260518104).

Almost surely, 2^16429431648 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 16429431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009737984).

16429431648 is an abundant number, since it is smaller than the sum of its proper divisors (33590044320).

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

16429431648 is a wasteful number, since it uses less digits than its factorization.

16429431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1237 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 16429431648 in words is "sixteen billion, four hundred twenty-nine million, four hundred thirty-one thousand, six hundred forty-eight".