11306690208 has 240 divisors, whose sum is σ = 38411138304. Its totient is φ = 3224586240.

The previous prime is 11306690141. The next prime is 11306690237. The reversal of 11306690208 is 80209660311.

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 39 ways as a sum of consecutive naturals, for example, 473041 + ... + 496367.

Almost surely, 2^11306690208 is an apocalyptic number.

11306690208 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 11306690208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19205569152).

11306690208 is an abundant number, since it is smaller than the sum of its proper divisors (27104448096).

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

11306690208 is a wasteful number, since it uses less digits than its factorization.

11306690208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23377 (or 23360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11306690208 in words is "eleven billion, three hundred six million, six hundred ninety thousand, two hundred eight".