11310622416 has 120 divisors (see below), whose sum is σ = 33070579776. Its totient is φ = 3601889280.

The previous prime is 11310622403. The next prime is 11310622457. The reversal of 11310622416 is 61422601311.

It is a happy number.

11310622416 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 622 + 4 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11310622416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717856 + ... + 3720896.

Almost surely, 2^11310622416 is an apocalyptic number.

11310622416 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 11310622416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535289888).

11310622416 is an abundant number, since it is smaller than the sum of its proper divisors (21759957360).

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

11310622416 is a wasteful number, since it uses less digits than its factorization.

11310622416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11310622416 in words is "eleven billion, three hundred ten million, six hundred twenty-two thousand, four hundred sixteen".