18816107772 has 192 divisors, whose sum is σ = 55396712448. Its totient is φ = 4828896000.

The previous prime is 18816107771. The next prime is 18816107777. The reversal of 18816107772 is 27770161881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18816107771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40815622 + ... + 40816082.

It is an arithmetic number, because the mean of its divisors is an integer number (288524544).

Almost surely, 2^18816107772 is an apocalyptic number.

18816107772 is a gapful number since it is divisible by the number (12) 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 18816107772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27698356224).

18816107772 is an abundant number, since it is smaller than the sum of its proper divisors (36580604676).

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

18816107772 is a wasteful number, since it uses less digits than its factorization.

18816107772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 48.

The spelling of 18816107772 in words is "eighteen billion, eight hundred sixteen million, one hundred seven thousand, seven hundred seventy-two".