16506647136 has 144 divisors (see below), whose sum is σ = 53766000288. Its totient is φ = 4705689600.

The previous prime is 16506647111. The next prime is 16506647147. The reversal of 16506647136 is 63174660561.

16506647136 is a `hidden beast` number, since 1 + 6 + 506 + 6 + 4 + 7 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16506647091 and 16506647100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920496 + ... + 938256.

It is an arithmetic number, because the mean of its divisors is an integer number (373375002).

Almost surely, 2^16506647136 is an apocalyptic number.

16506647136 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 16506647136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883000144).

16506647136 is an abundant number, since it is smaller than the sum of its proper divisors (37259353152).

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

16506647136 is a wasteful number, since it uses less digits than its factorization.

16506647136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18245 (or 18234 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 16506647136 in words is "sixteen billion, five hundred six million, six hundred forty-seven thousand, one hundred thirty-six".