16291511136 has 144 divisors (see below), whose sum is σ = 47489682240. Its totient is φ = 5294903040.

The previous prime is 16291511129. The next prime is 16291511141. The reversal of 16291511136 is 63111519261.

16291511136 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 1 + 511 + 136 = 666.

16291511136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16291511136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12618651 + ... + 12619941.

It is an arithmetic number, because the mean of its divisors is an integer number (329789460).

Almost surely, 2^16291511136 is an apocalyptic number.

16291511136 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 16291511136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23744841120).

16291511136 is an abundant number, since it is smaller than the sum of its proper divisors (31198171104).

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

16291511136 is a wasteful number, since it uses less digits than its factorization.

16291511136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2358 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The spelling of 16291511136 in words is "sixteen billion, two hundred ninety-one million, five hundred eleven thousand, one hundred thirty-six".