16177942464 has 224 divisors, whose sum is σ = 46000416000. Its totient is φ = 5003182080.

The previous prime is 16177942447. The next prime is 16177942477. The reversal of 16177942464 is 46424977161.

16177942464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 46354962 + ... + 46355310.

It is an arithmetic number, because the mean of its divisors is an integer number (205359000).

Almost surely, 2^16177942464 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 16177942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23000208000).

16177942464 is an abundant number, since it is smaller than the sum of its proper divisors (29822473536).

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

16177942464 is a wasteful number, since it uses less digits than its factorization.

16177942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 16177942464 in words is "sixteen billion, one hundred seventy-seven million, nine hundred forty-two thousand, four hundred sixty-four".