11002209274368 has 640 divisors, whose sum is σ = 35649268300800. Its totient is φ = 3371593973760.

The previous prime is 11002209274327. The next prime is 11002209274421. The reversal of 11002209274368 is 86347290220011.

11002209274368 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 209 + 2 + 7 + 436 + 8 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3944856718 + ... + 3944859506.

It is an arithmetic number, because the mean of its divisors is an integer number (55701981720).

Almost surely, 2^{11002209274368} is an apocalyptic number.

11002209274368 is a gapful number since it is divisible by the number (18) 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 11002209274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824634150400).

11002209274368 is an abundant number, since it is smaller than the sum of its proper divisors (24647059026432).

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

11002209274368 is an frugal number, since it uses more digits than its factorization.

11002209274368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 11002209274368 its reverse (86347290220011), we get a palindrome (97349499494379).

The spelling of 11002209274368 in words is "eleven trillion, two billion, two hundred nine million, two hundred seventy-four thousand, three hundred sixty-eight".