16487085384 has 1152 divisors, whose sum is σ = 66924748800. Its totient is φ = 3695155200.

The previous prime is 16487085347. The next prime is 16487085437. The reversal of 16487085384 is 48358078461.

16487085384 is a `hidden beast` number, since 1 + 6 + 487 + 0 + 85 + 3 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16487085384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 531841449 + ... + 531841479.

It is an arithmetic number, because the mean of its divisors is an integer number (58094400).

Almost surely, 2^16487085384 is an apocalyptic number.

16487085384 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 16487085384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33462374400).

16487085384 is an abundant number, since it is smaller than the sum of its proper divisors (50437663416).

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

16487085384 is a wasteful number, since it uses less digits than its factorization.

16487085384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 16487085384 in words is "sixteen billion, four hundred eighty-seven million, eighty-five thousand, three hundred eighty-four".