18216772992 has 384 divisors, whose sum is σ = 60949324800. Its totient is φ = 5367306240.

The previous prime is 18216772979. The next prime is 18216772993. The reversal of 18216772992 is 29927761281.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18216772993) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12658609 + ... + 12660047.

It is an arithmetic number, because the mean of its divisors is an integer number (158722200).

Almost surely, 2^18216772992 is an apocalyptic number.

18216772992 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 18216772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

18216772992 is an abundant number, since it is smaller than the sum of its proper divisors (42732551808).

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

18216772992 is a wasteful number, since it uses less digits than its factorization.

18216772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1492 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 18216772992 in words is "eighteen billion, two hundred sixteen million, seven hundred seventy-two thousand, nine hundred ninety-two".