16536747456 has 280 divisors, whose sum is σ = 50187392640. Its totient is φ = 5382720000.

The previous prime is 16536747431. The next prime is 16536747511. The reversal of 16536747456 is 65474763561.

16536747456 is a `hidden beast` number, since 1 + 65 + 3 + 67 + 474 + 56 = 666.

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

Its product of digits (12700800) is a multiple of the sum of its prime factors (525).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 65883331 + ... + 65883581.

It is an arithmetic number, because the mean of its divisors is an integer number (179240688).

Almost surely, 2^16536747456 is an apocalyptic number.

16536747456 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 16536747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25093696320).

16536747456 is an abundant number, since it is smaller than the sum of its proper divisors (33650645184).

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

16536747456 is a wasteful number, since it uses less digits than its factorization.

16536747456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 506 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 16536747456 in words is "sixteen billion, five hundred thirty-six million, seven hundred forty-seven thousand, four hundred fifty-six".