16416542464 has 72 divisors (see below), whose sum is σ = 37486780128. Its totient is φ = 7028797440.

The previous prime is 16416542453. The next prime is 16416542477. The reversal of 16416542464 is 46424561461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16416542464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112474 + ... + 2120230.

It is an arithmetic number, because the mean of its divisors is an integer number (520649724).

Almost surely, 2^16416542464 is an apocalyptic number.

16416542464 is a gapful number since it is divisible by the number (14) 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 16416542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743390064).

16416542464 is an abundant number, since it is smaller than the sum of its proper divisors (21070237664).

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

16416542464 is an equidigital number, since it uses as much as digits as its factorization.

16416542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8947 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The spelling of 16416542464 in words is "sixteen billion, four hundred sixteen million, five hundred forty-two thousand, four hundred sixty-four".