16286738364 has 240 divisors, whose sum is σ = 48719304480. Its totient is φ = 4702924800.

The previous prime is 16286738341. The next prime is 16286738387. The reversal of 16286738364 is 46383768261.

16286738364 is a `hidden beast` number, since 1 + 628 + 6 + 7 + 3 + 8 + 3 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16286738341) and next prime (16286738387).

It is a super-3 number, since 3×16286738364³ (a number of 32 digits) contains 333 as substring.

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 16286738364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9042264 + ... + 9044064.

It is an arithmetic number, because the mean of its divisors is an integer number (202997102).

Almost surely, 2^16286738364 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 16286738364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24359652240).

16286738364 is an abundant number, since it is smaller than the sum of its proper divisors (32432566116).

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

16286738364 is a wasteful number, since it uses less digits than its factorization.

16286738364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1951 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 16286738364 in words is "sixteen billion, two hundred eighty-six million, seven hundred thirty-eight thousand, three hundred sixty-four".