11415623616 has 168 divisors, whose sum is σ = 33788177280. Its totient is φ = 3682215936.

The previous prime is 11415623599. The next prime is 11415623621. The reversal of 11415623616 is 61632651411.

11415623616 is a `hidden beast` number, since 1 + 1 + 4 + 15 + 6 + 23 + 616 = 666.

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

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, 4197105 + ... + 4199823.

Almost surely, 2^11415623616 is an apocalyptic number.

11415623616 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 11415623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894088640).

11415623616 is an abundant number, since it is smaller than the sum of its proper divisors (22372553664).

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

11415623616 is a wasteful number, since it uses less digits than its factorization.

11415623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2958 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11415623616 in words is "eleven billion, four hundred fifteen million, six hundred twenty-three thousand, six hundred sixteen".