11621225106816 has 256 divisors, whose sum is σ = 33349192128000. Its totient is φ = 3564403015680.

The previous prime is 11621225106811. The next prime is 11621225106853. The reversal of 11621225106816 is 61860152212611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621225106811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275545735 + ... + 2275550841.

It is an arithmetic number, because the mean of its divisors is an integer number (130270281750).

Almost surely, 2^{11621225106816} is an apocalyptic number.

11621225106816 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 11621225106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674596064000).

11621225106816 is an abundant number, since it is smaller than the sum of its proper divisors (21727967021184).

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

11621225106816 is a wasteful number, since it uses less digits than its factorization.

11621225106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 11621225106816 in words is "eleven trillion, six hundred twenty-one billion, two hundred twenty-five million, one hundred six thousand, eight hundred sixteen".