16381657215 has 576 divisors, whose sum is σ = 42333580800. Its totient is φ = 5922201600.

The previous prime is 16381657207. The next prime is 16381657217. The reversal of 16381657215 is 51275618361.

16381657215 is a `hidden beast` number, since 1 + 6 + 381 + 6 + 57 + 215 = 666.

16381657215 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16381657215 - 2³ = 16381657207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16381657217) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 399552595 + ... + 399552635.

It is an arithmetic number, because the mean of its divisors is an integer number (73495800).

Almost surely, 2^16381657215 is an apocalyptic number.

16381657215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16381657215 is an abundant number, since it is smaller than the sum of its proper divisors (25951923585).

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

16381657215 is a wasteful number, since it uses less digits than its factorization.

16381657215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 16381657215 in words is "sixteen billion, three hundred eighty-one million, six hundred fifty-seven thousand, two hundred fifteen".