209162105113104 has 480 divisors, whose sum is σ = 694218521837568. Its totient is φ = 57953750400000.

The previous prime is 209162105113081. The next prime is 209162105113163. The reversal of 209162105113104 is 401311501261902.

209162105113104 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 621 + 0 + 5 + 1 + 13 + 10 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1650117729 + ... + 1650244479.

Almost surely, 2^{209162105113104} is an apocalyptic number.

209162105113104 is a gapful number since it is divisible by the number (24) 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 209162105113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347109260918784).

209162105113104 is an abundant number, since it is smaller than the sum of its proper divisors (485056416724464).

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

209162105113104 is a wasteful number, since it uses less digits than its factorization.

209162105113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127547 (or 127538 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 209162105113104 in words is "two hundred nine trillion, one hundred sixty-two billion, one hundred five million, one hundred thirteen thousand, one hundred four".