16378464816 has 480 divisors, whose sum is σ = 58138540800. Its totient is φ = 4389396480.

The previous prime is 16378464793. The next prime is 16378464827. The reversal of 16378464816 is 61846487361.

16378464816 is a `hidden beast` number, since 163 + 7 + 8 + 464 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77622951 + ... + 77623161.

It is an arithmetic number, because the mean of its divisors is an integer number (121121960).

Almost surely, 2^16378464816 is an apocalyptic number.

16378464816 is a gapful number since it is divisible by the number (16) 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 16378464816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29069270400).

16378464816 is an abundant number, since it is smaller than the sum of its proper divisors (41760075984).

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

16378464816 is a wasteful number, since it uses less digits than its factorization.

16378464816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 16378464816 in words is "sixteen billion, three hundred seventy-eight million, four hundred sixty-four thousand, eight hundred sixteen".