11334312990 has 480 divisors, whose sum is σ = 41671342944. Its totient is φ = 2172925440.

The previous prime is 11334312989. The next prime is 11334313027. The reversal of 11334312990 is 9921343311.

11334312990 is a `hidden beast` number, since 1 + 1 + 334 + 31 + 299 + 0 = 666.

11334312990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 5674672 + ... + 5676668.

Almost surely, 2^11334312990 is an apocalyptic number.

11334312990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334312990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835671472).

11334312990 is an abundant number, since it is smaller than the sum of its proper divisors (30337029954).

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

11334312990 is a wasteful number, since it uses less digits than its factorization.

11334312990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 11334312990 in words is "eleven billion, three hundred thirty-four million, three hundred twelve thousand, nine hundred ninety".