16185357213696 has 1008 divisors, whose sum is σ = 55528327876320. Its totient is φ = 4492512460800.

The previous prime is 16185357213673. The next prime is 16185357213713. The reversal of 16185357213696 is 69631275358161.

16185357213696 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 5 + 357 + 213 + 69 + 6 = 666.

It is a super-2 number, since 2×16185357213696² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 14808194526 + ... + 14808195618.

Almost surely, 2^{16185357213696} is an apocalyptic number.

16185357213696 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 16185357213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27764163938160).

16185357213696 is an abundant number, since it is smaller than the sum of its proper divisors (39342970662624).

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

16185357213696 is a wasteful number, since it uses less digits than its factorization.

16185357213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1159 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 16185357213696 in words is "sixteen trillion, one hundred eighty-five billion, three hundred fifty-seven million, two hundred thirteen thousand, six hundred ninety-six".